Give us the partial differencial equation with the boundary and initial value problems. The way you have it just makes no sense.
where L[u(x,t)] = U(x,s) with respect to t
Given u(x,o)=x u(0.t)=o
It is an imhonogeous equation. It need to find out general soland particular sol.
if it is a honogeous equation, just very easy to do.Am I correct in finding general sol.?
what is the yp(particular sol) in order to find U(x,s)
Finally, How to do inverse laplace transform to find u(x,t).