Chapter 8.2, Problem 6P

In each of Problem 1 through 6, find approximate value of the solution of the given initial value problem at $t=0.1,0.2,0.3,\text{and}0.4$.

a) Use the Euler method with $h=0.05$.

b) Use the Euler method with $h=0.025$.

$\begin{array}{cc}y\text{'}=(t^2-y^2)\sin y,& y(0)=-1\end{array}$