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).
Thank
I just realized that perhaps we need another point. You provided u(0,t)=0. Is there supposed to be another one? Because you cannot solve for A and B yet because there is 1 equation and two unknowns, if you provide one more conditions then we have 2 equations and 2 unknowns and it should solve.