hi,

is there an explicit solution for:

<br />
u_t = \imath\left(\begin{array}{cc}0&1\\1&0\end{array}\r  ight)  u_{xx} -\displaystyle{\frac{1}{2}} \left(\begin{array}{cc}7&-1\\-1&7\end{array}\right) u<br />


<br />
u(x,0) = \left(\begin{array}{cc}cos\omega x\\-\imath sin\omega x\end{array}\right)<br />

10x