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Partial Fraction & Differential Eq Question

I am stuck on 1 differential eq question:


3/(y-2)(y+1) in partial fractions, my answer is: 1/(y-2) - 1/(y+1)

given x and y satisfy the differential eq:

dy/dx = (x^2)(y-2)(y+1)

show that (y-2)/(y+1) = Ae^(x^3)

I've done dy/dx x (x^2) = (y-2)(y+1) then I got stuck.

Any help?

Thanks.

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