Tricky Integration

Could anyone help me integrate the following equation;

e^(x+y) + ln(x) + (e^(x+y) + y^2)dy/dx = 0


I can see it is exact and in the form P(x,y) + Q(x,y)dy/dx=0 and so I should be able to solve it using the partial differentiation method, but that would mean integrating ln x with respect to x, which I thought was impossible.

Many thanks.

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Originally Posted by hairymclairy

... but that would mean integrating ln x with respect to x, which I thought was impossible.

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Thanks, I've never seen that result before. Which is slightly disconcerting.

Quote:

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Originally Posted by hairymclairy

Thanks, I've never seen that result before. Which is slightly disconcerting.

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You can easily get this result by an integration by parts :


u=ln(x)
dv=1