I'm having trouble in approaching this problem $\displaystyle 2x dy + (x^2y^4+1)y dx=0$ Is it an exact equation needing an integration factor...?
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Write it as $\displaystyle \dfrac{dy}{dx} +\dfrac{y}{2x} = - \dfrac{x y^5}{2}$ It's Bernoulli.
Thanks!
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