Solution of the differential equation \(\frac{dy}{dx} = e^{3x-2y} + x^2 e^{-2y}\) is ______
Posted: Thu Jul 14, 2022 9:29 am
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) \( \frac{e^{2y}}{2} = \frac{e^{3x}}{3} + \frac{x^3}{3} + c\)
b) \( \frac{e^{3y} (e^{2x}+x^3)}{6} + c\)
c) \(\frac{e^{2y} (e^{3x}+x^3)}{6} + c\)
d) \( \frac{e^{2y}}{2} = \frac{e^{3x}}{3} + \frac{x^3}{3} + c\)