Find the solution of the equation \(4 \ddot{x}+2 \dot{x}+3000 x=F(t)\), where \(F(t)\) is as shown in Fig. 11.10 for the duration \(0 \leq t \leq 1\). Assume that \(x_{0}=\dot{x}_{0}=0\) and \(\Delta t=0.05\).

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F(1) 200 0 0.2 0.6 FIGURE 11.10 Forcing function of Problem 11.9.