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General solution of differential equation: $\large\frac{dy}{dx}$$=xe^{y-x^2}$

$(a)\;e^{-y^2}=2e^{-x} +c \\ (b)\;e^{-y}=2e^{-x^2} +c \\ (c)\;2e^{-y^2}=e^{-x^2} +c \\ (d)\;2e^{-y}=e^{-x^2} +c $

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