It is a textbook problem. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 4th Edition Haberman #2.5.12 a and b.
@ystael: Thanks. The formatting of the Latex is new stuff to me. :smile:
@gabba: That is the exact problem. I think the idea is to prove that u=v-w=0, and then by the min max principle, u is the only solution.
As an update, the professor said there was a mistake in the book, so we could...
Homework Statement
Use Divergence theorem to determine an alternate formula for \int\int u \nabla^2 u dx dy dz Then use this to prove laplaces equation \nabla^2 u = 0 is unique. u is given on the boundary.Homework Equations
u \nabla^2 u = \nabla * (u \nabla u) -(\nabla u)^2
The Attempt at...
Hello all,
I'm having a little trouble getting the Latex to work, so I'm hoping this won't be too hard for everyone to understand.
Homework Statement
I am given the second order differential equation
x2*y''(x)+(2*b+1)*x*y'(x)+c*y(x) = 0
Use the transform x=ez to find the general solution...