- #1
speedycatz
- 2
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Homework Statement
Find U(x,t)
dU/dt = d2U/dx2 + sin x
Boundary Conditions:
dU/dx (0,t) = 0
and
U(1,t) = 0
Initial Condition: U(x,0) = cos 7*π*x
2. The attempt at a solution
I start off with:
d2(Un)/dx2 = λnUn (as an initial value problem)
[d(Un)/dx](0) = 0; [d(Un)/dx](1) = 0
My teacher told me to use the orthogonality later on, but at this point I'm stuck.
Can anyone enlighten me? Thanks!