Question: Let f: R2 R be C2 on R2 and set u(r, θ) = f(r cos θ, r sin θ). If f satisfies the Laplace equation;

Let f: R2 †’ R be C2 on R2 and set u(r, θ) = f(r cos θ, r sin θ). If f satisfies the Laplace equation; that is, if

Let f: R2 †’ R be C2 on R2 and

prove for each r ‰  θ that

Let f: R2 †’ R be C2 on R2 and

ax2 ay 1au au au 0.

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