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. dy/dt=yt^{2}−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.