PDE:Integration and Separation of Variables
From Exampleproblems
solution 

solution 
solution Transform this initial boundary value problem into one with homogeneous boundary conditions.

solution 

solution 

solution Transform this equation: into the standard heat equation:

Solve Dirichlet's problem for a circular annulus. The domain is the space between two concentric circles, C_{1} being the innermost circle with radius a, and C_{2} being the outermost circle with radius b.  
in on on
