Using MATLAB, find the solution of the nonlinearly damped system, Eq. (E.1) of Example 13.7, for the following data: \(m=10, c=0.1, k=4000, F_{0}=200, \omega=20, x(0)=0.5\), \(\dot{x}(0)=1.0\).

Data From Example 13.7:-

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Using MATLAB, find the solution of a single-degree-of-freedom system with velocity-squared damping. Governing equation: mx + c(x) sign(x) + kx = Fo sin wt (E.1) Data: m = 10, c = 0.01, k = 4000, Fo = 200, w = 10 and 20, x(0) = 0.5, x(0) = 1.0 Also find the solution of the system using the equivalent viscous damping constant (Ceq) mx + Ceqx + kx = Fo sin wt where Ceq is given by Eq. (E.4) as Ceg 8cwX = 3T (E.2) (E.3)