You have solved the following differential equations in HW 1, plot their solution in MATLAB. Your
plots should be properly labeled with appropriate title, legend and axis titles.
1. $\ddot{x} + 3\dot{x} + 6x = 0$, $x(0) = 0$, $\dot{x}(0) = 3$
2. $\ddot{x} + 2\xi\omega_n\dot{x} + \omega_n^2x = F(t)$, where $F(t) = 1$ and $\omega_n = 10$ for the following three cases:
Case 1: $\xi = 2$
Case 2: $\xi = 1$
Case 3: $\xi = 0.5$
Assume $x(0) = \dot{x}(0) = 0$ and plot all three cases in one graph.
