let the following differential equation: $$ \begin{cases} \dfrac{\partial^2 y}{\partial t^2}= a^2 \dfrac{\partial^2 y}{\partial x^2}, 0<x<l, t>0\\ y(0,t)=f(t)\\ y(x,0)=0\\ \dfrac{\partial y}{\partial t}(x,0)=0 \end{cases} $$
How we calculate the solution of this problem using Laplace transformate? Thank's to the help.