Troubleshooting - A Guide to MATLAB for Beginners and Experienced Users - page 287

h=
x-3/2+1/100*u*exp(400*x/u)

X = zeros(6);
I = zeros(6);
for j = 0:5
X(j + 1) = fzero(char(subs(h, u, 10ˆ(-j))), ...
[0, 10ˆ(-j-1)]);
I(j + 1) = 10ˆ(-j-5);
end

loglog(I, X)

10 −

1

10 −

2

10 −

3

10 −

4

10 −

5

10 −

6

10 −

7

10 − 10 −

9

10 − 10 − 10 − 10 −

5

10 8 7 6

The loglog plot has a slope of approximately 1, reflecting a linear
dependence.

Problem 11

(a)

dsolve('Dx = x - xˆ2')

ans =
1/(1+exp(-t)*C1)

syms x0; sol = dsolve('Dx = x - xˆ2', 'x(0) = x0')