# Inhomogeneuos heat equation

1. Jul 27, 2008

### mumaga

inhomogeneuos heat equation!!!

1. The problem statement, all variables and given/known data
∂θ/∂t= D∇2θ + K, the mensioned equation is the heat equation for a cylindrical rod , and the requaired is to find the ordinary differential equation for θ(r) .where the radius of the rod is R , and K is constant ( correspond to a constant rate pf heat production)

2. Relevant equations

3. The attempt at a solution
i use separation of variables to obtain the required for a homogeneous heat equation , but with the constant the method didn't work out.

2. Jul 27, 2008

### tiny-tim

Welcome to PF!

Hi mumaga! Welcome to PF!

(I assume you mean ∂θ/∂t= C∇2θ + K, where C and K are constants, and θ depends only on t and r.)

See http://en.wikipedia.org/wiki/Heat_equation#Homogeneous_heat_equation