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1. |
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. | \( \frac{e^{2y}}{2} = \frac{e^{3x}}{3} + \frac{x^3}{3} + c\) |
Answer» E. | |