The solution of the equation (dy)/(dx) =...

The solution of the equation `(dy)/(dx) =(y^(2)-y-2)/(x^(2)+2x-3)` is

A

`1/3log|(y-2)/(y+1)|=1/4log|(x+3)/(x-1)|+c`

B

`1/3log|(y+1)/(y-2)|=1/4log|(x-1)/(x+3)|+c`

C

`4log|(y-2)/(y+1)|=3log|(x-1)/(x+3)|+c`

D

None of these

Verified by Experts

The correct Answer is:

C

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