Let r, , 1060 be spherical coordinates If u(r, , 1060 ) satisfies 2u 0, show that v(r, , 1060 ) u(1 r, , 1060 r satisfies 2u 0 What does this give for (16)

Question: Let r, , Ф be spherical coordinates. If u(r, , Ф) satisfies 2u = 0, show that v(r, , Ф) = u(1/r, , Ф/r satisfies

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)?

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