Homework Statement
In the heat equation, we have $T(t,x)=sum of a_k(t)b_k(x)$.
Now I want to find a formula for computing the initial coefficients $a_k(0)$ given the initial temperature distribution $f(x)$.
Homework Equations
We know that in a heat equation , $f(0)=0$, $f(1)=0$...