The solution of the differential equation \(\rm\frac{dy}{dx}\) = ex−y + x2 e−y is :

1
y = ex−y − x2 e−y + c
2
ey − ex = \(\rm\frac{x^3}{3}\) + c
3
ex + ey = \(\rm\frac{x^3}{3}\) + c
4
ex − ey = \(\rm\frac{x^3}{3}\) + c

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