Let r, , Ф be spherical coordinates. If u(r, , Ф) satisfies 2u = 0, show that

Question:

Let r, θ, Ф be spherical coordinates. If u(r, θ, Ф) satisfies ∆2u = 0, show that v(r, θ, Ф) = u(1/r, θ, Ф/r satisfies ∆2u = 0. What does this give for (16)?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

Question Posted: