Chapter 8.1, Problem 14P

In each of Problems 11 through 14, use Eular’s method to find approximate values of the solution of the given initial value problem at $\begin{array}{ccccccc}t=0.5,& 1,& 1.5,& 2,& 2.5,& \text{and}& 3\end{array}$.

a) With $h=0.1$

b) With $h=\mathrm{0.0.5}$

c) With $h=0.025$

d) With $h=0.01$

$\begin{array}{cc}y\text{'}=-ty+0.1y^3,& y(0)=1\end{array}$

$$