(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In cylindrical:

Get [tex]\frac{1}{\rho} \frac{d}{dp} \left( \rho\frac{d^2 v}{d\rho^2}\right) - \frac{1}{\rho^2}\frac{dv}{dp} = 0[/tex]

Out of [tex]\nabla^2\left(\nabla \times \vec{v}\right) = 0[/tex]

where [tex]\vec{v} = v(\rho)\hat{z}[/tex]

3. The attempt at a solution

I get [tex]\nabla \times \vec{v} = -\frac{dv}{dp}\hat{\theta}[/tex]

But how do I apply the Laplacian? I can't even get that out of Maple.

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# Homework Help: Laplacian(Nabla x v)

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