Find the general solution $of$ the given system.

$\frac{dx}{dt}=6x-y$

$\frac{dy}{dt}=5x+2y$

$($:$x(t),y(t)$:$)=($:$(c_{1}cos(t)+c_{2}sin(t))e^{4t},2(c_{1}cos(t)+c_{2}sin(t))e^{4t}+(c_{1}sin(t)-c_{2}cos(t))$:$)$

Need Help?