In Problems 14–24, you will need a computer and a programmed version of the vectorized classical fourth-order Runge–Kutta algorithm. (At the instructor’s discretion, other algorithms may be used.)
Using the vectorized Runge–Kutta algorithm with h = 0.5, approximate the solution to the initial value problem
at t =8. Compare this approximation to the actual Solution y(t) = t5/3-t
In this question, we have to solve the initial value problem.