Homework Statement
Find the solution u, via the Fourier sine/cosine transform, given:
u_{tt}-c^{2}u_{xx}=0
IC: u(x,0) = u_{t}(x,0)=0
BC: u(x,t) bounded as x\rightarrow \infty , u_{x}(0,t) = g(t)
2. The attempt at a solution
Taking the Fourier transform of the PDE, IC and BC...