Hello, I have the PDE


-∂v/∂τ + 1/2(σ^2)(ε^2)∂^2v/∂ε^2 + (1/T +(r-D)ε)∂v/∂ε=0

and firstly I need to seek a solution of the form v=α1(τ)ε + α0(τ) and then determine the general solution for α1(τ) and α0(τ).

I am given that ε=I/TS - X/S and that τ=T-t.

Could anybody help me with this?

Thanks