Can anybody help with this:

I have . How to extract u,v as functions from x,y, i.e. to get u(x,y) and v(x,y)?

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- December 16th 2010, 08:27 AM #1

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- December 16th 2010, 12:38 PM #2

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- December 16th 2010, 12:56 PM #3

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- December 16th 2010, 01:34 PM #4

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- December 16th 2010, 01:42 PM #5

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- December 16th 2010, 01:51 PM #6

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Right, so you don't actually need the explicit formula.

For example, to find and .

Take the partials of the equations directly (independent variables are ):

Note that and .

Solve this system of linear equations at the given point for .

Similar process for other derivatives.

Note you do need to solve for u and v at the point , and you use these values when evaluating things like sin(u).

- December 16th 2010, 03:34 PM #7

- December 17th 2010, 02:37 AM #8

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- December 17th 2010, 04:54 AM #9

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- December 17th 2010, 06:03 AM #10