I'm having trouble to solve the system $\frac{dx(t)}{dt} = A(t)x(t)$ with
$A(t)=\left(\begin{array}{cc}{\frac{1}{4}\left(1+\cos ^{2} t\right)} & {e^{t}\left(-1+\frac{1}{4} \cos t \sin t\right)} \\ {e^{-t}\left(1+\frac{1}{4} \cos t \sin t\right)} & {\frac{1}{4}\left(-3+\sin ^{2} t\right)}\end{array}\right)$
I'm in need of a nudge in the right direction.