What is a general solution to the differential equation \frac{dy}{dx}=\frac{2x}{(y+x^{2}y)^{2}}?

Ariel Collier

Ariel Collier

Answered question

2022-04-18

What is a general solution to the differential equation dydx=2x(y+x2y)2?

Answer & Explanation

betazpvaf4

betazpvaf4

Beginner2022-04-19Added 9 answers

 dy  dx =2x(y+x2y)2
this is separable
 dy  dx =1y22x(1+x2)2
y2 dy  dx =2x(1+x2)2
y33=11+x2+C
y3=C31+x2
y=C31+x23

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