What is a solution to the differential equation \frac{dy}{dx}=\frac{x^{2}+2}{4y^{3}}?

zdebe5l8

zdebe5l8

Answered question

2022-04-16

What is a solution to the differential equation dydx=x2+24y3?

Answer & Explanation

stecchiniror7

stecchiniror7

Beginner2022-04-17Added 14 answers

 dy  dx =x2+24y3
this is separable
4y3 dy  dx =x2+2
4y3 dy  dx  dx =x2+2 dx 
4y3 dy =x2+2 dx 
y4=x33+2x+C
y=±x33+2x+C4

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