Question: Solve Diffusion equation (PDE) using Laplace with Known BCs

Hello everyone,

I should solve the diffusivity equation using Maple. The equation and BSc are as follow: 

pde := W*diff(C(z, t), z $ 2) - diff(C(z, t), t $ 1) = 0

bc[1] := C(x, 0) = 0;
bc[2] := D[1](f)(0, t) = VMK*D[1](f)(t)/ZRTWA;
bc[3] := C(infinity, t) = 0;

The equation should be solved using Laplace method. Can anyone please help me ?

I will appreciate your insightful comments.

 

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