Solve the following initial value problem over the interval from t = 0 to 2 where y (0) =...

Solve the following initial value problem over the interval from t = 0 to 2 where y (0) = 1. Display all your results on the same graph.

(a) Analytically.

(b) Using Euler’s method with h = 0.5 and 0.25.

(c) Using the midpoint method with h = 0.5.

(d) Using the fourth-order RK method with h = 0.5.