The solution of \(\frac{dy}{dx}=1+x+y+xy\) is1\(x-y=K\left(1+xy\right)\)2\(\log\left(1+y\right)=x+\frac{x^2}{2}+k\)3\(\log\left(1+x\right)+y+\frac{y^2}{2}=K\)4none of theseAnswer & explanation+Correct answer: option 2Given equation is separable