What is a general solution to the differential equation (y^{2}+xy^{2})y'=1?

Malik Dean

Malik Dean

Answered question

2022-04-18

What is a general solution to the differential equation (y2+xy2)y=1?

Answer & Explanation

Videoad3u

Videoad3u

Beginner2022-04-19Added 15 answers

Explanation:
separate it
(y2+xy2)y=1
y2(1+x)y=1
y2y=11+x
y2ydx=11+xdx
y2dy=11+xdx
y33=ln(1+x)+C
personally i'd leave it there but you can "tidy" ie clutter it more as
y=3{3ln(1+x)+C}

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