Boundary Values & Fourier Series · Easy problem

A rod $0 \le x \le 2$ obeys $u_t = 4u_{xx}$ with $u(0, t) = u(2, t) = 0$ and $u(x, 0) = \sin \pi x$. Find $u\!\left(\dfrac12, \dfrac{\ln 2}{\pi^2}\right)$.