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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{\partial}{\partial x} (8 sin (x y))

\frac{d}{d y} (\frac{1}{4 y ^{2}})

\frac{\partial}{\partial y} (\frac{3 x y}{x ^{2} + y ^{2}})

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

cos (x) d y + (y sin (x) - cos^{4} (x)) d x = 0