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The solution of \(\frac{dy}{dx}=1+x+y+xy\) is |
\(x-y=K\left(1+xy\right)\) \(\log\left(1+y\right)=x+\frac{x^2}{2}+k\) \(\log\left(1+x\right)+y+\frac{y^2}{2}=K\) none of these |
\(\log\left(1+y\right)=x+\frac{x^2}{2}+k\) |
Given equation is separable |
