Mathematics Differential Equations Solution of Differential Equations

Find the solution of the differential equation \(\rm \frac{dy}{dx} = e^{x+y}+x^2e^y\)

1
\(\rm e^x-e^y+\frac{y^3}{3}=c\)
2
\(\rm e^x+e^y+\frac{x^3}{3}=c\)
3
\(\rm e^x+e^{-y}+\frac{x^3}{3}=c\)
4
\(\rm e^x+e^{-y}+\frac{y^3}{3}=c\)

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