Problem $2$: Use the MATLAB dsolve$()$ function to solve the differential equation $y^{\text{'}\text{'}}-y^{\text{'}}-12y=500cos(10t).$ Plot the family of

solutions on a single plot for $C_1=C_2=0$ as a solid curve, $C_1=0\mathrm{.}1,C_2=0$ as a dotted curve, and $C_1=C_2=0\mathrm{.}1$ as a dashed

curve. Make sure to label both axes, title your figure, and turn on the plotting legend. Set the y$-$axis limits to $[-10,50].$Problem $3$: For the differential equation solved in Problem $2,$ will any specific values of $C_1$ and $C_2$ cause the solution to converge to

zero as $t?$ Yes or no$?$ Explain.