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- Oct 25th 2009, 07:18 PM #1

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- Oct 25th 2009, 07:51 PM #2

- Oct 25th 2009, 08:04 PM #3

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- Oct 25th 2009, 08:16 PM #4
The preposed solution is not a solution to the PDE.

If you think about the problem geometrically

the left hand side is the directional derviative of the function.

This states the function is constant in the direction of the vector

This tells us that

This is a family of hyperbola's not circles as the problem asks......

Your PDE needs to have one of the terms negative for that to be a solution.

is a solution to the pde.

I.e if your problem read

or

would be a solution.

- Oct 26th 2009, 05:19 PM #5

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- Oct 26th 2009, 06:00 PM #6

- Oct 27th 2009, 07:07 AM #7