Drag

t_0=

y_0=

Slope field

f(x,y)=

+

-

Δt=

Explore values:

f(t,y)=

Best curve

g(t, y) = (2 * t) - sqrt(y)
Ay = 1 (slider from -999 to 999, step 0.1)
Ax = 0 (slider from -999 to 999, step 0.1)
h = 0.25 (slider from 0.01 to 3, step 0.01)
F(x, y) = g(x, y)
A: (Ax, Ay)
x_0: x(A)
y_0: y(A)
A1: 0
A2: 1
A3: A2 + 1
A4: A3 + 1
A5: A4 + 1
A6: A5 + 1
A7: A6 + 1
A8: A7 + 1
A9: A8 + 1
A10: A9 + 1
A11: A10 + 1
A12: A11 + 1
A13: A12 + 1
A14: A13 + 1
A15: A14 + 1
A16: A15 + 1
A17: A16 + 1
A18: A17 + 1
A19: A18 + 1
A20: A19 + 1
A21: A20 + 1
A22: A21 + 1
A23: A22 + 1
A24: A23 + 1
A25: A24 + 1
A26: A25 + 1
A27: A26 + 1
A28: A27 + 1
A29: A28 + 1
A30: A29 + 1
A31: A30 + 1
A32: A31 + 1
A33: A32 + 1
A34: A33 + 1
A35: A34 + 1
A36: A35 + 1
A37: A36 + 1
A38: A37 + 1
A39: A38 + 1
A40: A39 + 1
A41: A40 + 1
A42: A41 + 1
A43: A42 + 1
A44: A43 + 1
A45: A44 + 1
A46: A45 + 1
A47: A46 + 1
A48: A47 + 1
A49: A48 + 1
A50: A49 + 1
A51: A50 + 1
A52: A51 + 1
A53: A52 + 1
A54: A53 + 1
A55: A54 + 1
A56: A55 + 1
A57: A56 + 1
A58: A57 + 1
A59: A58 + 1
A60: A59 + 1
A61: A60 + 1
A62: A61 + 1
A63: A62 + 1
A64: A63 + 1
A65: A64 + 1
A66: A65 + 1
A67: A66 + 1
A68: A67 + 1
A69: A68 + 1
A70: A69 + 1
A71: A70 + 1
A72: A71 + 1
A73: A72 + 1
A74: A73 + 1
A75: A74 + 1
A76: A75 + 1
A77: A76 + 1
A78: A77 + 1
A79: A78 + 1
A80: A79 + 1
A81: A80 + 1
A82: A81 + 1
A83: A82 + 1
A84: A83 + 1
A85: A84 + 1
A86: A85 + 1
A87: A86 + 1
A88: A87 + 1
A89: A88 + 1
A90: A89 + 1
A91: A90 + 1
A92: A91 + 1
A93: A92 + 1
A94: A93 + 1
A95: A94 + 1
A96: A95 + 1
A97: A96 + 1
A98: A97 + 1
A99: A98 + 1
A100: A99 + 1
A101: A100 + 1
A102: A101 + 1
A103: A102 + 1
A104: A103 + 1
A105: A104 + 1
A106: A105 + 1
A107: A106 + 1
A108: A107 + 1
A109: A108 + 1
A110: A109 + 1
A111: A110 + 1
A112: A111 + 1
A113: A112 + 1
A114: A113 + 1
A115: A114 + 1
A116: A115 + 1
A117: A116 + 1
A118: A117 + 1
A119: A118 + 1
A120: A119 + 1
A121: A120 + 1
A122: A121 + 1
A123: A122 + 1
A124: A123 + 1
A125: A124 + 1
A126: A125 + 1
A127: A126 + 1
A128: A127 + 1
A129: A128 + 1
A130: A129 + 1
A131: A130 + 1
A132: A131 + 1
A133: A132 + 1
A134: A133 + 1
A135: A134 + 1
A136: A135 + 1
A137: A136 + 1
A138: A137 + 1
A139: A138 + 1
A140: A139 + 1
A141: A140 + 1
A142: A141 + 1
A143: A142 + 1
A144: A143 + 1
A145: A144 + 1
A146: A145 + 1
A147: A146 + 1
A148: A147 + 1
A149: A148 + 1
A150: A149 + 1
A151: A150 + 1
A152: A151 + 1
A153: A152 + 1
A154: A153 + 1
A155: A154 + 1
A156: A155 + 1
A157: A156 + 1
A158: A157 + 1
A159: A158 + 1
A160: A159 + 1
A161: A160 + 1
A162: A161 + 1
A163: A162 + 1
A164: A163 + 1
A165: A164 + 1
A166: A165 + 1
A167: A166 + 1
A168: A167 + 1
A169: A168 + 1
A170: A169 + 1
A171: A170 + 1
A172: A171 + 1
A173: A172 + 1
A174: A173 + 1
A175: A174 + 1
A176: A175 + 1
A177: A176 + 1
A178: A177 + 1
A179: A178 + 1
A180: A179 + 1
A181: A180 + 1
A182: A181 + 1
A183: A182 + 1
A184: A183 + 1
A185: A184 + 1
A186: A185 + 1
A187: A186 + 1
A188: A187 + 1
A189: A188 + 1
A190: A189 + 1
A191: A190 + 1
A192: A191 + 1
A193: A192 + 1
A194: A193 + 1
A195: A194 + 1
A196: A195 + 1
A197: A196 + 1
A198: A197 + 1
A199: A198 + 1
A200: A199 + 1
B1: x_0 + (A1 * h)
B2: x_0 + (A2 * h)
B3: x_0 + (A3 * h)
B4: x_0 + (A4 * h)
B5: x_0 + (A5 * h)
B6: x_0 + (A6 * h)
B7: x_0 + (A7 * h)
B8: x_0 + (A8 * h)
B9: x_0 + (A9 * h)
B10: x_0 + (A10 * h)
B11: x_0 + (A11 * h)
B12: x_0 + (A12 * h)
B13: x_0 + (A13 * h)
B14: x_0 + (A14 * h)
B15: x_0 + (A15 * h)
B16: x_0 + (A16 * h)
B17: x_0 + (A17 * h)
B18: x_0 + (A18 * h)
B19: x_0 + (A19 * h)
B20: x_0 + (A20 * h)
B21: x_0 + (A21 * h)
B22: x_0 + (A22 * h)
B23: x_0 + (A23 * h)
B24: x_0 + (A24 * h)
B25: x_0 + (A25 * h)
B26: x_0 + (A26 * h)
B27: x_0 + (A27 * h)
B28: x_0 + (A28 * h)
B29: x_0 + (A29 * h)
B30: x_0 + (A30 * h)
B31: x_0 + (A31 * h)
B32: x_0 + (A32 * h)
B33: x_0 + (A33 * h)
B34: x_0 + (A34 * h)
B35: x_0 + (A35 * h)
B36: x_0 + (A36 * h)
B37: x_0 + (A37 * h)
B38: x_0 + (A38 * h)
B39: x_0 + (A39 * h)
B40: x_0 + (A40 * h)
B41: x_0 + (A41 * h)
B42: x_0 + (A42 * h)
B43: x_0 + (A43 * h)
B44: x_0 + (A44 * h)
B45: x_0 + (A45 * h)
B46: x_0 + (A46 * h)
B47: x_0 + (A47 * h)
B48: x_0 + (A48 * h)
B49: x_0 + (A49 * h)
B50: x_0 + (A50 * h)
B51: x_0 + (A51 * h)
B52: x_0 + (A52 * h)
B53: x_0 + (A53 * h)
B54: x_0 + (A54 * h)
B55: x_0 + (A55 * h)
B56: x_0 + (A56 * h)
B57: x_0 + (A57 * h)
B58: x_0 + (A58 * h)
B59: x_0 + (A59 * h)
B60: x_0 + (A60 * h)
B61: x_0 + (A61 * h)
B62: x_0 + (A62 * h)
B63: x_0 + (A63 * h)
B64: x_0 + (A64 * h)
B65: x_0 + (A65 * h)
B66: x_0 + (A66 * h)
B67: x_0 + (A67 * h)
B68: x_0 + (A68 * h)
B69: x_0 + (A69 * h)
B70: x_0 + (A70 * h)
B71: x_0 + (A71 * h)
B72: x_0 + (A72 * h)
B73: x_0 + (A73 * h)
B74: x_0 + (A74 * h)
B75: x_0 + (A75 * h)
B76: x_0 + (A76 * h)
B77: x_0 + (A77 * h)
B78: x_0 + (A78 * h)
B79: x_0 + (A79 * h)
B80: x_0 + (A80 * h)
B81: x_0 + (A81 * h)
B82: x_0 + (A82 * h)
B83: x_0 + (A83 * h)
B84: x_0 + (A84 * h)
B85: x_0 + (A85 * h)
B86: x_0 + (A86 * h)
B87: x_0 + (A87 * h)
B88: x_0 + (A88 * h)
B89: x_0 + (A89 * h)
B90: x_0 + (A90 * h)
B91: x_0 + (A91 * h)
B92: x_0 + (A92 * h)
B93: x_0 + (A93 * h)
B94: x_0 + (A94 * h)
B95: x_0 + (A95 * h)
B96: x_0 + (A96 * h)
B97: x_0 + (A97 * h)
B98: x_0 + (A98 * h)
B99: x_0 + (A99 * h)
B100: x_0 + (A100 * h)
B101: x_0 + (A101 * h)
B102: x_0 + (A102 * h)
B103: x_0 + (A103 * h)
B104: x_0 + (A104 * h)
B105: x_0 + (A105 * h)
B106: x_0 + (A106 * h)
B107: x_0 + (A107 * h)
B108: x_0 + (A108 * h)
B109: x_0 + (A109 * h)
B110: x_0 + (A110 * h)
B111: x_0 + (A111 * h)
B112: x_0 + (A112 * h)
B113: x_0 + (A113 * h)
B114: x_0 + (A114 * h)
B115: x_0 + (A115 * h)
B116: x_0 + (A116 * h)
B117: x_0 + (A117 * h)
B118: x_0 + (A118 * h)
B119: x_0 + (A119 * h)
B120: x_0 + (A120 * h)
B121: x_0 + (A121 * h)
B122: x_0 + (A122 * h)
B123: x_0 + (A123 * h)
B124: x_0 + (A124 * h)
B125: x_0 + (A125 * h)
B126: x_0 + (A126 * h)
B127: x_0 + (A127 * h)
B128: x_0 + (A128 * h)
B129: x_0 + (A129 * h)
B130: x_0 + (A130 * h)
B131: x_0 + (A131 * h)
B132: x_0 + (A132 * h)
B133: x_0 + (A133 * h)
B134: x_0 + (A134 * h)
B135: x_0 + (A135 * h)
B136: x_0 + (A136 * h)
B137: x_0 + (A137 * h)
B138: x_0 + (A138 * h)
B139: x_0 + (A139 * h)
B140: x_0 + (A140 * h)
B141: x_0 + (A141 * h)
B142: x_0 + (A142 * h)
B143: x_0 + (A143 * h)
B144: x_0 + (A144 * h)
B145: x_0 + (A145 * h)
B146: x_0 + (A146 * h)
B147: x_0 + (A147 * h)
B148: x_0 + (A148 * h)
B149: x_0 + (A149 * h)
B150: x_0 + (A150 * h)
B151: x_0 + (A151 * h)
B152: x_0 + (A152 * h)
B153: x_0 + (A153 * h)
B154: x_0 + (A154 * h)
B155: x_0 + (A155 * h)
B156: x_0 + (A156 * h)
B157: x_0 + (A157 * h)
B158: x_0 + (A158 * h)
B159: x_0 + (A159 * h)
B160: x_0 + (A160 * h)
B161: x_0 + (A161 * h)
B162: x_0 + (A162 * h)
B163: x_0 + (A163 * h)
B164: x_0 + (A164 * h)
B165: x_0 + (A165 * h)
B166: x_0 + (A166 * h)
B167: x_0 + (A167 * h)
B168: x_0 + (A168 * h)
B169: x_0 + (A169 * h)
B170: x_0 + (A170 * h)
B171: x_0 + (A171 * h)
B172: x_0 + (A172 * h)
B173: x_0 + (A173 * h)
B174: x_0 + (A174 * h)
B175: x_0 + (A175 * h)
B176: x_0 + (A176 * h)
B177: x_0 + (A177 * h)
B178: x_0 + (A178 * h)
B179: x_0 + (A179 * h)
B180: x_0 + (A180 * h)
B181: x_0 + (A181 * h)
B182: x_0 + (A182 * h)
B183: x_0 + (A183 * h)
B184: x_0 + (A184 * h)
B185: x_0 + (A185 * h)
B186: x_0 + (A186 * h)
B187: x_0 + (A187 * h)
B188: x_0 + (A188 * h)
B189: x_0 + (A189 * h)
B190: x_0 + (A190 * h)
B191: x_0 + (A191 * h)
B192: x_0 + (A192 * h)
B193: x_0 + (A193 * h)
B194: x_0 + (A194 * h)
B195: x_0 + (A195 * h)
B196: x_0 + (A196 * h)
B197: x_0 + (A197 * h)
B198: x_0 + (A198 * h)
B199: x_0 + (A199 * h)
B200: x_0 + (A200 * h)
C1: y_0
C2: C1 + (F(B1, C1) * h)
C3: C2 + (F(B2, C2) * h)
C4: C3 + (F(B3, C3) * h)
C5: C4 + (F(B4, C4) * h)
C6: C5 + (F(B5, C5) * h)
C7: C6 + (F(B6, C6) * h)
C8: C7 + (F(B7, C7) * h)
C9: C8 + (F(B8, C8) * h)
C10: C9 + (F(B9, C9) * h)
C11: C10 + (F(B10, C10) * h)
C12: C11 + (F(B11, C11) * h)
C13: C12 + (F(B12, C12) * h)
C14: C13 + (F(B13, C13) * h)
C15: C14 + (F(B14, C14) * h)
C16: C15 + (F(B15, C15) * h)
C17: C16 + (F(B16, C16) * h)
C18: C17 + (F(B17, C17) * h)
C19: C18 + (F(B18, C18) * h)
C20: C19 + (F(B19, C19) * h)
C21: C20 + (F(B20, C20) * h)
C22: C21 + (F(B21, C21) * h)
C23: C22 + (F(B22, C22) * h)
C24: C23 + (F(B23, C23) * h)
C25: C24 + (F(B24, C24) * h)
C26: C25 + (F(B25, C25) * h)
C27: C26 + (F(B26, C26) * h)
C28: C27 + (F(B27, C27) * h)
C29: C28 + (F(B28, C28) * h)
C30: C29 + (F(B29, C29) * h)
C31: C30 + (F(B30, C30) * h)
C32: C31 + (F(B31, C31) * h)
C33: C32 + (F(B32, C32) * h)
C34: C33 + (F(B33, C33) * h)
C35: C34 + (F(B34, C34) * h)
C36: C35 + (F(B35, C35) * h)
C37: C36 + (F(B36, C36) * h)
C38: C37 + (F(B37, C37) * h)
C39: C38 + (F(B38, C38) * h)
C40: C39 + (F(B39, C39) * h)
C41: C40 + (F(B40, C40) * h)
C42: C41 + (F(B41, C41) * h)
C43: C42 + (F(B42, C42) * h)
C44: C43 + (F(B43, C43) * h)
C45: C44 + (F(B44, C44) * h)
C46: C45 + (F(B45, C45) * h)
C47: C46 + (F(B46, C46) * h)
C48: C47 + (F(B47, C47) * h)
C49: C48 + (F(B48, C48) * h)
C50: C49 + (F(B49, C49) * h)
C51: C50 + (F(B50, C50) * h)
C52: C51 + (F(B51, C51) * h)
C53: C52 + (F(B52, C52) * h)
C54: C53 + (F(B53, C53) * h)
C55: C54 + (F(B54, C54) * h)
C56: C55 + (F(B55, C55) * h)
C57: C56 + (F(B56, C56) * h)
C58: C57 + (F(B57, C57) * h)
C59: C58 + (F(B58, C58) * h)
C60: C59 + (F(B59, C59) * h)
C61: C60 + (F(B60, C60) * h)
C62: C61 + (F(B61, C61) * h)
C63: C62 + (F(B62, C62) * h)
C64: C63 + (F(B63, C63) * h)
C65: C64 + (F(B64, C64) * h)
C66: C65 + (F(B65, C65) * h)
C67: C66 + (F(B66, C66) * h)
C68: C67 + (F(B67, C67) * h)
C69: C68 + (F(B68, C68) * h)
C70: C69 + (F(B69, C69) * h)
C71: C70 + (F(B70, C70) * h)
C72: C71 + (F(B71, C71) * h)
C73: C72 + (F(B72, C72) * h)
C74: C73 + (F(B73, C73) * h)
C75: C74 + (F(B74, C74) * h)
C76: C75 + (F(B75, C75) * h)
C77: C76 + (F(B76, C76) * h)
C78: C77 + (F(B77, C77) * h)
C79: C78 + (F(B78, C78) * h)
C80: C79 + (F(B79, C79) * h)
C81: C80 + (F(B80, C80) * h)
C82: C81 + (F(B81, C81) * h)
C83: C82 + (F(B82, C82) * h)
C84: C83 + (F(B83, C83) * h)
C85: C84 + (F(B84, C84) * h)
C86: C85 + (F(B85, C85) * h)
C87: C86 + (F(B86, C86) * h)
C88: C87 + (F(B87, C87) * h)
C89: C88 + (F(B88, C88) * h)
C90: C89 + (F(B89, C89) * h)
C91: C90 + (F(B90, C90) * h)
C92: C91 + (F(B91, C91) * h)
C93: C92 + (F(B92, C92) * h)
C94: C93 + (F(B93, C93) * h)
C95: C94 + (F(B94, C94) * h)
C96: C95 + (F(B95, C95) * h)
C97: C96 + (F(B96, C96) * h)
C98: C97 + (F(B97, C97) * h)
C99: C98 + (F(B98, C98) * h)
C100: C99 + (F(B99, C99) * h)
C101: C100 + (F(B100, C100) * h)
C102: C101 + (F(B101, C101) * h)
C103: C102 + (F(B102, C102) * h)
C104: C103 + (F(B103, C103) * h)
C105: C104 + (F(B104, C104) * h)
C106: C105 + (F(B105, C105) * h)
C107: C106 + (F(B106, C106) * h)
C108: C107 + (F(B107, C107) * h)
C109: C108 + (F(B108, C108) * h)
C110: C109 + (F(B109, C109) * h)
C111: C110 + (F(B110, C110) * h)
C112: C111 + (F(B111, C111) * h)
C113: C112 + (F(B112, C112) * h)
C114: C113 + (F(B113, C113) * h)
C115: C114 + (F(B114, C114) * h)
C116: C115 + (F(B115, C115) * h)
C117: C116 + (F(B116, C116) * h)
C118: C117 + (F(B117, C117) * h)
C119: C118 + (F(B118, C118) * h)
C120: C119 + (F(B119, C119) * h)
C121: C120 + (F(B120, C120) * h)
C122: C121 + (F(B121, C121) * h)
C123: C122 + (F(B122, C122) * h)
C124: C123 + (F(B123, C123) * h)
C125: C124 + (F(B124, C124) * h)
C126: C125 + (F(B125, C125) * h)
C127: C126 + (F(B126, C126) * h)
C128: C127 + (F(B127, C127) * h)
C129: C128 + (F(B128, C128) * h)
C130: C129 + (F(B129, C129) * h)
C131: C130 + (F(B130, C130) * h)
C132: C131 + (F(B131, C131) * h)
C133: C132 + (F(B132, C132) * h)
C134: C133 + (F(B133, C133) * h)
C135: C134 + (F(B134, C134) * h)
C136: C135 + (F(B135, C135) * h)
C137: C136 + (F(B136, C136) * h)
C138: C137 + (F(B137, C137) * h)
C139: C138 + (F(B138, C138) * h)
C140: C139 + (F(B139, C139) * h)
C141: C140 + (F(B140, C140) * h)
C142: C141 + (F(B141, C141) * h)
C143: C142 + (F(B142, C142) * h)
C144: C143 + (F(B143, C143) * h)
C145: C144 + (F(B144, C144) * h)
C146: C145 + (F(B145, C145) * h)
C147: C146 + (F(B146, C146) * h)
C148: C147 + (F(B147, C147) * h)
C149: C148 + (F(B148, C148) * h)
C150: C149 + (F(B149, C149) * h)
C151: C150 + (F(B150, C150) * h)
C152: C151 + (F(B151, C151) * h)
C153: C152 + (F(B152, C152) * h)
C154: C153 + (F(B153, C153) * h)
C155: C154 + (F(B154, C154) * h)
C156: C155 + (F(B155, C155) * h)
C157: C156 + (F(B156, C156) * h)
C158: C157 + (F(B157, C157) * h)
C159: C158 + (F(B158, C158) * h)
C160: C159 + (F(B159, C159) * h)
C161: C160 + (F(B160, C160) * h)
C162: C161 + (F(B161, C161) * h)
C163: C162 + (F(B162, C162) * h)
C164: C163 + (F(B163, C163) * h)
C165: C164 + (F(B164, C164) * h)
C166: C165 + (F(B165, C165) * h)
C167: C166 + (F(B166, C166) * h)
C168: C167 + (F(B167, C167) * h)
C169: C168 + (F(B168, C168) * h)
C170: C169 + (F(B169, C169) * h)
C171: C170 + (F(B170, C170) * h)
C172: C171 + (F(B171, C171) * h)
C173: C172 + (F(B172, C172) * h)
C174: C173 + (F(B173, C173) * h)
C175: C174 + (F(B174, C174) * h)
C176: C175 + (F(B175, C175) * h)
C177: C176 + (F(B176, C176) * h)
C178: C177 + (F(B177, C177) * h)
C179: C178 + (F(B178, C178) * h)
C180: C179 + (F(B179, C179) * h)
C181: C180 + (F(B180, C180) * h)
C182: C181 + (F(B181, C181) * h)
C183: C182 + (F(B182, C182) * h)
C184: C183 + (F(B183, C183) * h)
C185: C184 + (F(B184, C184) * h)
C186: C185 + (F(B185, C185) * h)
C187: C186 + (F(B186, C186) * h)
C188: C187 + (F(B187, C187) * h)
C189: C188 + (F(B188, C188) * h)
C190: C189 + (F(B189, C189) * h)
C191: C190 + (F(B190, C190) * h)
C192: C191 + (F(B191, C191) * h)
C193: C192 + (F(B192, C192) * h)
C194: C193 + (F(B193, C193) * h)
C195: C194 + (F(B194, C194) * h)
C196: C195 + (F(B195, C195) * h)
C197: C196 + (F(B196, C196) * h)
C198: C197 + (F(B197, C197) * h)
C199: C198 + (F(B198, C198) * h)
C200: C199 + (F(B199, C199) * h)
A201: A200 + 1
A202: A201 + 1
A203: A202 + 1
A204: A203 + 1
A205: A204 + 1
A206: A205 + 1
A207: A206 + 1
A208: A207 + 1
A209: A208 + 1
A210: A209 + 1
A211: A210 + 1
A212: A211 + 1
A213: A212 + 1
A214: A213 + 1
A215: A214 + 1
A216: A215 + 1
A217: A216 + 1
A218: A217 + 1
A219: A218 + 1
A220: A219 + 1
A221: A220 + 1
A222: A221 + 1
A223: A222 + 1
A224: A223 + 1
A225: A224 + 1
A226: A225 + 1
A227: A226 + 1
A228: A227 + 1
A229: A228 + 1
A230: A229 + 1
A231: A230 + 1
A232: A231 + 1
A233: A232 + 1
A234: A233 + 1
A235: A234 + 1
A236: A235 + 1
A237: A236 + 1
A238: A237 + 1
A239: A238 + 1
A240: A239 + 1
A241: A240 + 1
A242: A241 + 1
A243: A242 + 1
A244: A243 + 1
A245: A244 + 1
A246: A245 + 1
A247: A246 + 1
A248: A247 + 1
A249: A248 + 1
A250: A249 + 1
A251: A250 + 1
A252: A251 + 1
A253: A252 + 1
A254: A253 + 1
A255: A254 + 1
A256: A255 + 1
A257: A256 + 1
A258: A257 + 1
A259: A258 + 1
A260: A259 + 1
A261: A260 + 1
A262: A261 + 1
A263: A262 + 1
A264: A263 + 1
A265: A264 + 1
A266: A265 + 1
A267: A266 + 1
A268: A267 + 1
A269: A268 + 1
A270: A269 + 1
A271: A270 + 1
A272: A271 + 1
A273: A272 + 1
A274: A273 + 1
A275: A274 + 1
A276: A275 + 1
A277: A276 + 1
A278: A277 + 1
A279: A278 + 1
A280: A279 + 1
A281: A280 + 1
A282: A281 + 1
A283: A282 + 1
A284: A283 + 1
A285: A284 + 1
A286: A285 + 1
A287: A286 + 1
A288: A287 + 1
A289: A288 + 1
A290: A289 + 1
A291: A290 + 1
A292: A291 + 1
A293: A292 + 1
A294: A293 + 1
A295: A294 + 1
A296: A295 + 1
A297: A296 + 1
A298: A297 + 1
A299: A298 + 1
A300: A299 + 1
A301: A300 + 1
A302: A301 + 1
B201: x_0 + (A201 * h)
B202: x_0 + (A202 * h)
B203: x_0 + (A203 * h)
B204: x_0 + (A204 * h)
B205: x_0 + (A205 * h)
B206: x_0 + (A206 * h)
B207: x_0 + (A207 * h)
B208: x_0 + (A208 * h)
B209: x_0 + (A209 * h)
B210: x_0 + (A210 * h)
B211: x_0 + (A211 * h)
B212: x_0 + (A212 * h)
B213: x_0 + (A213 * h)
B214: x_0 + (A214 * h)
B215: x_0 + (A215 * h)
B216: x_0 + (A216 * h)
B217: x_0 + (A217 * h)
B218: x_0 + (A218 * h)
B219: x_0 + (A219 * h)
B220: x_0 + (A220 * h)
B221: x_0 + (A221 * h)
B222: x_0 + (A222 * h)
B223: x_0 + (A223 * h)
B224: x_0 + (A224 * h)
B225: x_0 + (A225 * h)
B226: x_0 + (A226 * h)
B227: x_0 + (A227 * h)
B228: x_0 + (A228 * h)
B229: x_0 + (A229 * h)
B230: x_0 + (A230 * h)
B231: x_0 + (A231 * h)
B232: x_0 + (A232 * h)
B233: x_0 + (A233 * h)
B234: x_0 + (A234 * h)
B235: x_0 + (A235 * h)
B236: x_0 + (A236 * h)
B237: x_0 + (A237 * h)
B238: x_0 + (A238 * h)
B239: x_0 + (A239 * h)
B240: x_0 + (A240 * h)
B241: x_0 + (A241 * h)
B242: x_0 + (A242 * h)
B243: x_0 + (A243 * h)
B244: x_0 + (A244 * h)
B245: x_0 + (A245 * h)
B246: x_0 + (A246 * h)
B247: x_0 + (A247 * h)
B248: x_0 + (A248 * h)
B249: x_0 + (A249 * h)
B250: x_0 + (A250 * h)
B251: x_0 + (A251 * h)
B252: x_0 + (A252 * h)
B253: x_0 + (A253 * h)
B254: x_0 + (A254 * h)
B255: x_0 + (A255 * h)
B256: x_0 + (A256 * h)
B257: x_0 + (A257 * h)
B258: x_0 + (A258 * h)
B259: x_0 + (A259 * h)
B260: x_0 + (A260 * h)
B261: x_0 + (A261 * h)
B262: x_0 + (A262 * h)
B263: x_0 + (A263 * h)
B264: x_0 + (A264 * h)
B265: x_0 + (A265 * h)
B266: x_0 + (A266 * h)
B267: x_0 + (A267 * h)
B268: x_0 + (A268 * h)
B269: x_0 + (A269 * h)
B270: x_0 + (A270 * h)
B271: x_0 + (A271 * h)
B272: x_0 + (A272 * h)
B273: x_0 + (A273 * h)
B274: x_0 + (A274 * h)
B275: x_0 + (A275 * h)
B276: x_0 + (A276 * h)
B277: x_0 + (A277 * h)
B278: x_0 + (A278 * h)
B279: x_0 + (A279 * h)
B280: x_0 + (A280 * h)
B281: x_0 + (A281 * h)
B282: x_0 + (A282 * h)
B283: x_0 + (A283 * h)
B284: x_0 + (A284 * h)
B285: x_0 + (A285 * h)
B286: x_0 + (A286 * h)
B287: x_0 + (A287 * h)
B288: x_0 + (A288 * h)
B289: x_0 + (A289 * h)
B290: x_0 + (A290 * h)
B291: x_0 + (A291 * h)
B292: x_0 + (A292 * h)
B293: x_0 + (A293 * h)
B294: x_0 + (A294 * h)
B295: x_0 + (A295 * h)
B296: x_0 + (A296 * h)
B297: x_0 + (A297 * h)
B298: x_0 + (A298 * h)
B299: x_0 + (A299 * h)
B300: x_0 + (A300 * h)
B301: x_0 + (A301 * h)
B302: x_0 + (A302 * h)
C201: C200 + (F(B200, C200) * h)
C202: C201 + (F(B201, C201) * h)
C203: C202 + (F(B202, C202) * h)
C204: C203 + (F(B203, C203) * h)
C205: C204 + (F(B204, C204) * h)
C206: C205 + (F(B205, C205) * h)
C207: C206 + (F(B206, C206) * h)
C208: C207 + (F(B207, C207) * h)
C209: C208 + (F(B208, C208) * h)
C210: C209 + (F(B209, C209) * h)
C211: C210 + (F(B210, C210) * h)
C212: C211 + (F(B211, C211) * h)
C213: C212 + (F(B212, C212) * h)
C214: C213 + (F(B213, C213) * h)
C215: C214 + (F(B214, C214) * h)
C216: C215 + (F(B215, C215) * h)
C217: C216 + (F(B216, C216) * h)
C218: C217 + (F(B217, C217) * h)
C219: C218 + (F(B218, C218) * h)
C220: C219 + (F(B219, C219) * h)
C221: C220 + (F(B220, C220) * h)
C222: C221 + (F(B221, C221) * h)
C223: C222 + (F(B222, C222) * h)
C224: C223 + (F(B223, C223) * h)
C225: C224 + (F(B224, C224) * h)
C226: C225 + (F(B225, C225) * h)
C227: C226 + (F(B226, C226) * h)
C228: C227 + (F(B227, C227) * h)
C229: C228 + (F(B228, C228) * h)
C230: C229 + (F(B229, C229) * h)
C231: C230 + (F(B230, C230) * h)
C232: C231 + (F(B231, C231) * h)
C233: C232 + (F(B232, C232) * h)
C234: C233 + (F(B233, C233) * h)
C235: C234 + (F(B234, C234) * h)
C236: C235 + (F(B235, C235) * h)
C237: C236 + (F(B236, C236) * h)
C238: C237 + (F(B237, C237) * h)
C239: C238 + (F(B238, C238) * h)
C240: C239 + (F(B239, C239) * h)
C241: C240 + (F(B240, C240) * h)
C242: C241 + (F(B241, C241) * h)
C243: C242 + (F(B242, C242) * h)
C244: C243 + (F(B243, C243) * h)
C245: C244 + (F(B244, C244) * h)
C246: C245 + (F(B245, C245) * h)
C247: C246 + (F(B246, C246) * h)
C248: C247 + (F(B247, C247) * h)
C249: C248 + (F(B248, C248) * h)
C250: C249 + (F(B249, C249) * h)
C251: C250 + (F(B250, C250) * h)
C252: C251 + (F(B251, C251) * h)
C253: C252 + (F(B252, C252) * h)
C254: C253 + (F(B253, C253) * h)
C255: C254 + (F(B254, C254) * h)
C256: C255 + (F(B255, C255) * h)
C257: C256 + (F(B256, C256) * h)
C258: C257 + (F(B257, C257) * h)
C259: C258 + (F(B258, C258) * h)
C260: C259 + (F(B259, C259) * h)
C261: C260 + (F(B260, C260) * h)
C262: C261 + (F(B261, C261) * h)
C263: C262 + (F(B262, C262) * h)
C264: C263 + (F(B263, C263) * h)
C265: C264 + (F(B264, C264) * h)
C266: C265 + (F(B265, C265) * h)
C267: C266 + (F(B266, C266) * h)
C268: C267 + (F(B267, C267) * h)
C269: C268 + (F(B268, C268) * h)
C270: C269 + (F(B269, C269) * h)
C271: C270 + (F(B270, C270) * h)
C272: C271 + (F(B271, C271) * h)
C273: C272 + (F(B272, C272) * h)
C274: C273 + (F(B273, C273) * h)
C275: C274 + (F(B274, C274) * h)
C276: C275 + (F(B275, C275) * h)
C277: C276 + (F(B276, C276) * h)
C278: C277 + (F(B277, C277) * h)
C279: C278 + (F(B278, C278) * h)
C280: C279 + (F(B279, C279) * h)
C281: C280 + (F(B280, C280) * h)
C282: C281 + (F(B281, C281) * h)
C283: C282 + (F(B282, C282) * h)
C284: C283 + (F(B283, C283) * h)
C285: C284 + (F(B284, C284) * h)
C286: C285 + (F(B285, C285) * h)
C287: C286 + (F(B286, C286) * h)
C288: C287 + (F(B287, C287) * h)
C289: C288 + (F(B288, C288) * h)
C290: C289 + (F(B289, C289) * h)
C291: C290 + (F(B290, C290) * h)
C292: C291 + (F(B291, C291) * h)
C293: C292 + (F(B292, C292) * h)
C294: C293 + (F(B293, C293) * h)
C295: C294 + (F(B294, C294) * h)
C296: C295 + (F(B295, C295) * h)
C297: C296 + (F(B296, C296) * h)
C298: C297 + (F(B297, C297) * h)
C299: C298 + (F(B298, C298) * h)
C300: C299 + (F(B299, C299) * h)
C301: C300 + (F(B300, C300) * h)
C302: C301 + (F(B301, C301) * h)
xns: B1:B300
yns: C1:C300
pointsxyns = Sequence((Element[xns, i], Element[yns, i]), i, 1, 300)
Density: 25
scale: 0.5
slopefield1 = SlopeField(F, Density, scale)
f = PolyLine(pointsxyns)
n = 0 (slider from 0 to 20, step 10)
n1: n + 15
list1 = Sequence(Element[xns, i], i, 1 + n, 11 + n)
list2 = Sequence(Element[yns, i], i, 1 + n, 11 + n)
list3 = Sequence(i, i, n, n + 10)
D1: 1
D2: 2
D3: 3
D4: 4
D5: 5
D6: 6
D7: 7
D8: 8
D9: 9
D10: 10
D11: 11
D12: 12
D13: 13
D14: 14
D15: 15
D16: 16
E1 = Element(list3, D1)
E2 = Element(list3, D2)
E3 = Element(list3, D3)
E4 = Element(list3, D4)
E5 = Element(list3, D5)
E6 = Element(list3, D6)
E7 = Element(list3, D7)
E8 = Element(list3, D8)
E9 = Element(list3, D9)
E10 = Element(list3, D10)
E11 = Element(list3, D11)
F1 = Element(list1, D1)
F2 = Element(list1, D2)
F3 = Element(list1, D3)
F4 = Element(list1, D4)
F5 = Element(list1, D5)
F6 = Element(list1, D6)
F7 = Element(list1, D7)
F8 = Element(list1, D8)
F9 = Element(list1, D9)
F10 = Element(list1, D10)
F11 = Element(list1, D11)
G1 = Element(list2, D1)
G2 = Element(list2, D2)
G3 = Element(list2, D3)
G4 = Element(list2, D4)
G5 = Element(list2, D5)
G6 = Element(list2, D6)
G7 = Element(list2, D7)
G8 = Element(list2, D8)
G9 = Element(list2, D9)
G10 = Element(list2, D10)
G11 = Element(list2, D11)
InputBox1 = Textfield(Ax)
InputBox2 = Textfield(Ay)
b = true
InputBox3 = Textfield(F)
InputBox4 = Textfield(h)
numericalIntegral1 = SolveODE(F, x(A), y(A), 100, 0.01)
list4 = Sequence(F(Element[xns, i], Element[yns, i]), i, 1 + n, 11 + n)
H1 = NaN
H2 = NaN
H3 = NaN
H4 = NaN
H5 = NaN
H6 = NaN
H7 = NaN
H8 = NaN
H9 = NaN
H10 = NaN
H11 = NaN
InputBox5 = Textfield(g)
text1 = TableText({{"k", "t_k", "y_k", "f(t_k,y_k)"}, {E1, F1, G1, Element[list4, 1]}, {E2, F2, G2, Element[list4, 2]}, {E3, F3, G3, Element[list4, 3]}, {E4, F4, G4, Element[list4, 4]}, {E5, F5, G5, Element[list4, 5]}, {E6, F6, G6, Element[list4, 6]}, {E7, F7, G7, Element[list4, 7]}, {E8, F8, G8, Element[list4, 8]}, {E9, F9, G9, Element[list4, 9]}, {E10, F10, G10, Element[list4, 10]}, {E11, F11, G11, Element[list4, 11]}}, "|_")
b_2 = false