Solve the following differential equations:

Question

Philoid · Accepted 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