Laplace Transform: Explaining Theory & Solving ODE

[marioooo]

Hello,

What does laplace transformation exactly 'do'? If I have PDE of second order and use LT on it, what do i get to solve? ODE? or if I have ODE of second order, what do I need to solve afet transformation? How does this work? is there any rule?!

 

[hunt_mat]

The thing with integral transforms is that they can turn differential equations into algebraic equations which are far easier to solve and then you can transform back to obtain the solutions of your differential equations.