Question $3-$ subject name is dynamics of mechanical systems

A two$-$degree$-$of$-$freedom mechanical system with five springs and two masses is shown in the Fig. $7,$ and $F_1$ and $F_2$ are exciting force respectively. Please determine: $(1)$The equation of motion; $(2)$ The natural frequencies; $(3)$The modal vectors and to draw the modal vector curves. $($Note: values of $k,m$ equal to $5)$

Fig. $3$