Solution of the differential equation ( frac{dy}{dx} = e^{3x-2y} + x^2 e^{-2y} ) is ______

• A. ( frac{e^{2y}}{3} = frac{e^{3x}}{3} + frac{x^2}{2} + c )
• B. ( frac{e^{3y} (e^{2x}+x^3)}{6} + c )
• C. ( frac{e^{2y} (e^{3x}+x^3)}{6} + c )
• D. ( frac{e^{2y}}{2} = frac{e^{3x}}{3} + frac{x^3}{3} + c )