$2\mathrm{.}4(10$ pts$)$ Find and plot the functions $y_1(t)$ and $y_2(t)$ for the forced vibration of the two masses in the figure below.

Notes: We can ignore the effect of gravity in this analysis. The springs have $k=4\frac{N}{m}m,$ the masses are given in units of kg $,$ and forcing functions $f_1(t)=11sint(N)$ and $f_2(t)=-11sint(N)$ act on masses $m_1$ and $m_2,$ respectively.

Initial conditions are: $y_1(0)=1(cm),y_1^{\text{'}}(0)=10(m\frac{m}{s}),y_2(0)=1(cm),y_{-}{2}^{\text{'}}(0)=-10(m\frac{m}{s}).$