How To Solve Pde Using Laplace Transform. X) and then inverse transform it back to get the solution. To transform ∂ u / ∂ t, it is an analogy with y ′ ( t) = d y / d t and we use ( 1).

Laplace transform is the integral transform of the given derivative function with real variable t to convert into a complex function with variable s. We are going to solve differential equation in the form. For t ≥ 0, let f(t) be given and.