Homework Statement
Solve the boundary value problem
\frac{\partial ^2 u}{\partial t^2} = c^2 (\frac{\partial ^2 u}{\partial x^2}+\frac{\partial ^2 u}{\partial y^2}),
0<x<a,
0<y<b, and
t>0
for the boundary conditions
u(0,y,t) = 0 and u(a,y,t) = 0 for 0 \leq y \leq b and t\geq0...