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

If V=xf(u) and u=y/x, show that

x^2.d2V/dx2 + 2xy.d2V/dxdy + y^2.d2V/dy2= 0

(This a partial differentiation problem so all the d's are curly d's)

3. The attempt at a solution

I have tried to work out d2V/dx2 and the other derivatives, then multiply them by x^2 or 2xy or whatever is in front of them and then add them all together, but the answer I get is not 0.

I think the issue is I don't know how to work out d2V/dx2

to work out d2V/dx2 I am trying d/dx (dV/du . du/dx). But it does not seem to work

Any help would be appreciated

thanks

cluivee

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# Homework Help: Question about second-order partial derivatives

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