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

Frances Simon

Frances Simon

Answered question

2022-04-19

What is a solution to the differential equation dydx=x+sinx3y2?

Answer & Explanation

resacarno4u

resacarno4u

Beginner2022-04-20Added 12 answers

This is separable
y=x+sinx3y2
3y2y=x+sinx
3y2y dx =x+sinx dx 
3y2 dy =x+sinx dx 
y3=x22cosx+C
y=x22cosx+C3

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