Homework Statement
1) What is the Equilibrium temperature distributions if α > 0?
2) Assume α > 0, k=1, and L=1, solve the PDE with initial condition u(x,0) = x(1-x)
Homework Equations
du/dt = k(d^2u/dx^2) - (α*u)
The Attempt at a Solution
I got u(x) = [(α*u*x)/2k]*[x-L] for...