I have to solve the ODE

3x² + 1/(x + 2y) + (-2y + 2/(x+2y)(dy/dx) = 0

And I'm finding it difficult... but anyway I got to a part where I have to integrate (with respect to x)

3x² + 1/(x + 2y)

Is it x³ + ln |x|

or x³ + ln |x + 2y|
Last edited by Gaz_m2k5 at Mar 9, 2008,
Quote by Gaz_m2k5
I have to solve the ODE

3x² + 1/(x + 2y) + (-2y + 2/(x+2y)(dy/dx) = 0

And I'm finding it difficult... but anyway I got to a part where I have to integrate (with respect to x)

3x² + 1/(x + 2y)

Is it x³ + ln |x|

or x³ + ln |x + 2y|
Pretty sure that one's right. We just finished those sections and I hated them.
whoa whoa whoa!! wheres ur intergrating factor?!
whoa whoa whoa!! wheres ur intergrating factor?!

Erm... I thought I didn't use one if it's an exact ODE. I'm confused
ok, i can't help, but what does |x| mean?
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ok, i can't help, but what does |x| mean?

absolute value of x
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