(dy)/(dx)-xe^y=2e^y

解答

\frac{d y}{d x} - x e^{y} = 2 e^{y}

y = - ln (- 2 x - \frac{x ^{2}}{2} - c_{1})

求解步骤

\frac{d y}{d x} - x e^{y} = 2 e^{y}

求解可分离方程:

y = - ln (- 2 x - \frac{x ^{2}}{2} - c_{1})

y = - ln (- 2 x - \frac{x ^{2}}{2} - c_{1})

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + y = e^{- x} \cdot ln (x)

\frac{\partial}{\partial x} (1 + x y^{2})

h \to 0 lim (\frac{3}{h})

d er i v a t i v e 4 tan^{2} (7 x)

\frac{d y}{d x} = - \frac{1}{2} y