Author: Dr Adrian Jannetta
Date: 26 June 2013

Density

A%v

Length

Solution A

Step size:

B%v

Solution B

C%v

D%v

Solution C

Solution D

f(t,y) =

Slope field

Caption

Fig no

t_{min} =

y_{min} =

t_{max} =

y_{max} =

Set View

f(x, y) = NaN
n = 15 (slider from 1 to 40, step 1)
x_{min}: -4
x_{max}: 4
y_{min}: -10
y_{max}: 20
A = (-0.7702919479813203, 6.508781349412366)
L = 0.8 (slider from 0.05 to 1, step 0.05)
a = true
delta = 0.1
inputBox6 = Textfield(delta)
B = (-2.3642981582834977, 11.800052615915737)
b = false
C = (1.2757396449704144, 3.7445652173913038)
D = (-0.329908156122654, 8.081139725371989)
c = false
d = false
eq1: x = t
h(t, y) = ((1 / 10 * y) * (9 - y)) - t
g(x, y) = h(x, y)
inputBox1 = Textfield(h)
C_1 = Corner(2, 1)
C_3 = Corner(2, 3)
slopefield1 = SlopeField(g, n, L, x(C_1), y(C_1), x(C_3), y(C_3))
numericalIntegral1 = SolveODE(g, x(A), y(A), x(C_3), delta)
numericalIntegral2 = SolveODE(g, x(A), y(A), x(C_1), delta)
b_1 = true
numericalIntegral3 = SolveODE(g, x(B), y(B), x(C_3), delta)
numericalIntegral4 = SolveODE(g, x(B), y(B), x(C_1), delta)
numericalIntegral5 = SolveODE(g, x(C), y(C), x(C_3), delta)
numericalIntegral6 = SolveODE(g, x(C), y(C), x(C_1), delta)
numericalIntegral7 = SolveODE(g, x(D), y(D), x(C_3), delta)
numericalIntegral8 = SolveODE(g, x(D), y(D), x(C_1), delta)
t_2: round(x(C_3), 2)
y_1: round(y(C_1), 2)
y_2: round(y(C_3), 2)
b_2 = true
f_1: 2.2
InputBox1 = Textfield(f_1)
text3: "\mbox{Figure}\ " + (LaTeX[f_1]) + " :\ \mbox{slope field for }\frac{dy}{dt} = " + (LaTeX[h]) + ""
t_1: round(x(C_1), 2)
text8: "" + (LaTeX[t_1]) + " \leq t \leq " + (LaTeX[t_2]) + ""
text9: "" + (LaTeX[y_1]) + " \leq y \leq " + (LaTeX[y_2]) + ""
w_1: -4
w_2: 4
v_1: -10
v_2: 20
InputBox2 = Textfield(w_1)
InputBox3 = Textfield(v_1)
InputBox4 = Textfield(w_2)
InputBox5 = Textfield(v_2)
aw_1: w_1 - (0.05 * (w_2 - w_1))
aw_2: w_2 + (0.05 * (w_2 - w_1))
av_1: v_1 - (0.05 * (v_2 - v_1))
av_2: v_2 + (0.05 * (v_2 - v_1))