Recent content by NapoleonZ

Yes, they are.

Homework Statement Homework Equations After simplification, the PDE is (b^2/a^2)(d^2 v/ d x^2) + (d^2 v/ d y^2) = -1 The Attempt at a Solution Obviously, it can't be solved by separation of variables. And I also failed in similarity solution.

i] I'm confused too. ii] No always, actually D=-C*a^(2n)

I have got two sets of solutions U(r,θ)=A*ln(r)+B* U(r,θ)=(C*r^λ+D/r^λ)*(E*sinλθ+F*cosλθ) My problem is the boundary conditions are nonhomogeneous, with which I cannot work out the coefficients.

Urr+(1/r)*Ur+(1/r^2)*Uθθ=0 a<r<b, 0<θ<w with the conditions U(r,0)=U1 U(r,w)=U2 U(a,θ)=0 U(b,θ)=f(θ)