Question: Using the fourth-order Runge-Kutta method, solve Problem 11.20. Data From Problem 11.20:- The equations of motion of a two-degree-of-freedom system are given by (2 ddot{x}_{1}+6

Using the fourth-order Runge-Kutta method, solve Problem 11.20.

Data From Problem 11.20:-

The equations of motion of a two-degree-of-freedom system are given by $2 \ddot{x}_{1}+6 x_{1}-2 x_{2}=5$ and $\ddot{x}_{2}-2 x_{1}+4 x_{2}=20 \sin 5 t$. Assuming the initial conditions as $x_{1}(0)=\dot{x}_{1}(0)=x_{2}(0)=\dot{x}_{2}(0)=0$, find the response of the system, using the central difference method with $\Delta t=0.25$.

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