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## Homework Statement

Find the solution of the equation

u

_{xy}= u

_{x}

## The Attempt at a Solution

u

_{x}= p

p

_{y}= p

ln p = y + c*

p = ce^y

But them, what is u?

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- Thread starter kasse
- Start date

- #1

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- 0

Find the solution of the equation

u

u

p

ln p = y + c*

p = ce^y

But them, what is u?

Last edited:

- #2

HallsofIvy

Science Advisor

Homework Helper

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Just integrate wrt. x so that

u(x,y) = e^y Int[c(x)]dx + g(y) where c(x) and g(y) are arbitrary?

u(x,y) = e^y Int[c(x)]dx + g(y) where c(x) and g(y) are arbitrary?

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