Answer :

Now separating variable x on one side and variable y on other side, we have


Integrating LHS with respect to y and RHS with respect to x



Adding 2 and subtracting 2, to the numerator of RHS



Re - writing RHS as



Using identities:



and



Integrating both sides, we have


log(y) = 2x + 2log(x – 1) + c


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