(dy)/(dx)=(x+1)/(e^y)

Lösung

\frac{d y}{d x} = \frac{x + 1}{e ^{y}}

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{x + 1}{e ^{y}}

Solve separable ODE:

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

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

\frac{d y}{d x} = - \frac{8}{9} x^{2} y^{6}

y^{^{'}} = (\frac{2}{x} - x) y

x^{5} \frac{d y}{d x} = 3 x^{2} 1 - y^{2}

x^{3} + 8 y \frac{d y}{d x} = 0

\frac{d y}{d x} = y (8 x^{2} + 1)