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=yt2−1.1y
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.