Answer :

given: and (1, -2) is a solution

To find: solution of given differential equation


Re-writing the equation as





Integrating both sides




Formula:


Substituting (-2,1) to find the value of c


0=-2+c


c=2


2 ln x=y-3 ln (y+3) +2


2 ln x +3 ln (y+3) =y+2


2 ln x +3 ln (y+3) =y+2


ln x2 + ln (y+3)3 =y+2


⇒ x2(y+3)3 = y + c


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