@nm 

I am on your side and thank you for your comments.

I would appreciate it if you could help me with this matter.

Thank you for your help

@Carl Love 

Thank you for your helpful comments.

How can I use the Laplace Transformation to find the exact solution?

@Carl Love

In fact, I should solve the following equation and find the exact solution using the method of Laplace Transformation.

pde := W*diff(C(z, t), z $ 2) - diff(C(z, t), t $ 1) = 0
IC[1] := C(Z, 0) = 0;
bc[1] := D[1](C)(0, t) = VMK*D[1](C)(t)/ZRTWA;
bc[2] := C(infinity, t) = 0;

V, M ,K ,D Z, R, T, W, A are emprical constant of the equation.

Thank you once again for your support.

@tomleslie 

Thank you for taking the time out of your bad day to answer my question.

The correct form of the equation and Bsc7IC is as follow:

pde := W*diff(C(z, t), z $ 2) - diff(C(z, t), t $ 1) = 0
IC[1] := C(Z, 0) = 0;
bc[1] := D[1](C)(0, t) = VMK*D[1](C)(t)/ZRTWA;
bc[2] := C(infinity, t) = 0;

V, M ,K ,D Z, R, T, W, A are emprical constant of the equation.

I hope you the best

@Carl Love 

Thank you for your comments.

You are right. The function is "C".

For the second question, yes, D[1](C)(infinity,t) is correct

@Carl Love 

Thank you for your help.

I posted the question twice as I taught the first one did not work properly.