The solution of the differential equatio...

The solution of the differential equation
` (dy)/(dx) +(3x^(2))/(1+x^(3))y = (sin^(2) x)/(1+x^(3)),` is

A

`y(1+x^3)=x+1/2 sin 2x +c `

B

`y(1+x^3)=cx+1/2 sin 2x +c `

C

`y(1+x^3)=cx-1/2 sin 2x +c `

D

`y(1+x^3)=x/2 -1/4 sin 2x +c `

Verified by Experts

The correct Answer is:

D

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