#1
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,
#2
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.
#4
Quote by Mask_of_Terror
whoa whoa whoa!! wheres ur intergrating factor?!


Erm... I thought I didn't use one if it's an exact ODE. I'm confused
#5
ok, i can't help, but what does |x| mean?
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#6
Quote by Pure_Morning
ok, i can't help, but what does |x| mean?

absolute value of x
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