Question: Use the 4th order Runge-Kutta method to solve numerically for y(t) at t=2 for the same ordinary differential equation as in homework 10 , dtdy=yt31.5y

Use the 4th order Runge-Kutta method to solve numerically for y(t)

Use the 4th order Runge-Kutta method to solve numerically for y(t) at t=2 for the same ordinary differential equation as in homework 10 , dtdy=yt31.5y with the same initial condition y(0)=1. Use a step size of h=t=0.5 On the same graph, compare your results from this problem and from the Heun method (from homework 8, problem 4) with a curve that shows the analytic solution, y(t)=exp(t4/41.5t)

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