Using the third-order Runge-Kutta method, solve Problem 11.15.

Data From Problem 11.15:-

Using the second-order Runge-Kutta method, solve the differential equation \(\ddot{x}+1000 x=0\) with the initial conditions \(x_{0}=5\) and \(\dot{x}_{0}=0\). Use \(\Delta t=0.01\).