A Laplace or Fourier Transform to solve a system of partial differential equations in thermoelasticity

I've a system of partial diff. eqs. in thermo-elasticity, I can solve it using normal mode analysis method but I need to solve it using laplace or fourier Untitled.png
 

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You need to try something to see if you are on the right track. We can't just give you the solution.

What do you know about Fourier or Laplace transforms?
 
Sorry I was busy a bit
I put my solution i don't its true or false .. i used the laplace trans. then fourier tran.
sorry for the line sorry for the camera
if the solution is true i've 2 problems
1- I cannot find the inverse of laplace and fourier
2- I cannot write this system on the matlab
so sorry again
 

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