General solution of differential equations: $\large\frac{dy}{dx}$$=e^{3x-2y}+x^2e^{-2y}$

Question

$(a)\;3e^{2y}=2(e^{3x}+x^3)+c \\ (b)\;2e^{2y}=3(e^{3x}+x^3)+c \\ (c)\;3e^{2y}=2(e^{3x}-x^3)+c \\ (d)\;2e^{2y}=3(e^{3x}-x^3)+c$