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February 19th, 2012, 01:48 AM   #1
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Finding the general solution of this differential equation

I have the following differential equation:



and I need to find the general solution.

I end up with:



And from here I can't solve in terms of y (because it's non-linear). How can I proceed?
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February 19th, 2012, 03:28 AM   #2
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Re: Finding the general solution of this differential equati

I think you may have the incorrect set up at the end.

Separate variables:



Integrate:







Now, you can solve for y.
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February 19th, 2012, 03:38 AM   #3
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Re: Finding the general solution of this differential equati

Quote:
Originally Posted by galactus
I think you may have the incorrect set up at the end.

Separate variables:



Integrate:







Now, you can solve for y.
I figured the following:

(I created partial fractions)

Then I integrated them incorrectly (oops) thinking that when it's actually

Thank you very much!
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