Question:
Consider the problem
with boundary conditions and
This problem is best solved by making the substitution and choosing so that satisfies a homogenous equation.
Find an explicit expression for and state the precise boundary conditions and equation which must satisfy. Do not find an explicit expression for
Attempted Answer:
Let
Choose
Then
and
so
so and therefore
and then
so
so
Can somebody please tell me if this is correct, and if not, could somebody please help me out?