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

dy/dt = y(t^3)-1.1y

a) Analytically.

b) Euler's method with h = 0.5 and 0.25.

c) Midpoint method with h = 0.5.

d) Fourth order RK method with h = 0.5.