use eulers method with at 25 and then at 1 to estimate the solution of

Question

. Use Euler's method with At = .25 and then At = .1 to estimate the solution of the initial value problem \begin{array}{ll}
T^{\prime}(t)=40-T(t)+t^{2} & T(0)=90
\end{array} for 0 <t< 10. Give a plot of both approximate solutions you obtain. Note that this differential equation could be used to model Newton's law of cooling which we will discuss later in this class(p.38).