Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1. Display all of 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 Runge Kutta method with h = 0.5