Question: 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).

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 \(\Delta t=0.01\).

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