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Question: Laplace transform of Uxx(t,) for the ordinary derivative

Question:Laplace transform of Uxx(t,) for the ordinary derivative

kfplm00 15 Maple 2023
differentiation laplace inttrans
18 hours ago
2

I am learning how to use Maple for solving single and systems of linear PDE's using the Laplace transform (LT)method so the resulting solution in s space can be used to generate the moments of the resulting probability distribution.

When I take the LT of a term such as Uxx(t,x), I expect a second order ordinary derivative. Instead, it shows the Laplace transform operator.

Here is a simple test code  

with(inttrans):

with(DEtools):

rhs_pde := diff(u(x, t), x, x);

laplace_rhs_pde := laplace(rhs_pde, t, s);
Please Wait...