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Please I need your assistance to solve this PDE below:

[itex]\frac{\partial^2 X}{\partial t^2} - \frac{\partial^2 X}{\partial z^2} + a(z,t) \frac{\partial X}{\partial t} + b(z,t) \frac{\partial X}{\partial z} +c(z,t) X =\Phi(z,t)[/itex]

With initial and boundary condition:

[itex]X(z,0)=\frac{\partial X(z,0)}{\partial t}=0[/itex]

[itex]X(0,t)=X(L,t)=0[/itex]

Thank you in advance.

FM