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First-order nonlinear ODE

Hello there, any help with this would be much appreciated. The equation looks similar to a Bernoulli but doesn't seem to be in quite the right form, I'm sure I'm missing some form of quick trick here:

dydx+4xy=2x(y2+1)\frac{dy}{dx} + 4xy = 2x(y^2 + 1)
Reply 1
Factorise the x and separate the variables?
Reply 2
Original post by Swayum
Factorise the x and separate the variables?


Wow, that is extremely embarrassing, I think I was trying to overcomplicate it.:tongue:

The question was quite late on in the paper so I just assumed that it was not immediately seperable. Thanks.
(edited 13 years ago)

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