Consider the initial value problem
dy/dt = 1 - t3/y with y(0) = 1
i) Use Midpoint Method with step size h =0.2 and h =0.1 to find y(2);
ii) Use 4th order Runge-Kutta Method with step size h =0.2 and h =0.1 to find y(2).
iii) Sketch all the solutions on the interval [1, 2] with appropriate legend for comparison.