Question

2. Use Euler's method with At = .25 and then At = .1 to estimate the solution of the initial value problem T^{\prime}(t)=40-T(t)+t^{2}, \quad T(0)=90 for 0

Give a plot of both approximate solutions you obtain. Note that this differentialequation could be used to model Newton's law of cooling which we will discuss later in this class(p.38).

Fig: 1

Fig: 2

Fig: 3