Hello all,

I have been working on a project involving the Laplace equation. Sadly enough, somehow I don't get it to work. I have tried looking for a solution in the manual of Mathematica and tried several solutions, but non of them seem to work. Every time I end up getting the same thing, with the words LaplaceTransform and InverseLaplaceTransform, as I put in. I have tried using different domains for the NSolve, as well as reformulating the whole function which needs to be solved and trying different ways of formulating the variable t in the NSolve. The idea is that I get the Laplace transformation of the function (2nd line in the code), get a solution for variable t. After which the inverse Laplace transformation should be taking from this solution. My starting code is as following:

Clear["Global`*"]
Sin[\[Omega] t] == 
 q''[t]/Subscript[dw, 0]^2 + (2 \[Xi]q'[t])/Subscript[dw, 0] + q[t]/d

LaplaceTransform[%, t, s]
NSolve[%, t]
InverseLaplaceTransform[%, s, t]

Gratitude in advance.

Kind regards, Justin Warners