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## Homework Statement

Obtain the solution of the diffusion equation,

*u(t,x)*

a) satisfying the boundary conditions:

*u(t,0)=u*;

_{1}, u(t,l)=u_{2}, u(0,x)=u_{1}+(u_{2}-u_{1})x/l+a.sin(n[tex]\pi[/tex]x/l)b) in the semi-plane x > 0, with

*u(t,0)=u*.

_{0}+a.sin([tex]\omega[/tex]t)## Homework Equations

Wish I knew...

## The Attempt at a Solution

I haven't done none because I don't know where to start. I just want to ask what should I study to solve this problem. I have Riley's "Mathematical Methods for Physics and Engineering" and Zill's "Advanced Engineering Mathematics". If you have and can point me out the chapters, I would be much appreciated, or you can just tell me the subjects, that I'll try and look for them in the books.