Chapter 4.2, Problem 103E

Estimate the following solutions using Euler’s method with n = 5 steps over the interval t = [0, 1]. If you are able to solve the initial-value problem exactly, compare your solution with the exact solution. If you are unable to solve the initial-value problem, the exact solution will be provided for you to compare with Euler’s method. How accurate is Euler’s method?

103. y' = −5t, y(0) = −2. Exact solution is $y=-\frac{5}{2}{t}^2-2$