Use a calculator or computer program to carry out the following steps.

a. Approximate the value of y(T) using Euler’s method with the given[0, T].

b. Using the exact solution (also given), find the error in the approximation to y(T) (only at the right endpoint of the time interval).

c. Repeating parts (a) and (b) using half the time step used in those calculations, again find an approximation to y(T).

d. Compare the errors in the approximations to y(T).

Euler’s method time step

y'(t) = - y(0) y(0) = 4; At = 0.1, T = 2; y(t) = Vt + 16