(1+x)ydx+(1-y)xdy=0

Lösung

(1 + x) y d x + (1 - y) x d y = 0

y = - W (- \frac{1}{e ^{x - c_{1}} x})

Schritte zur Lösung

(1 + x) y d x + (1 - y) x d y = 0

Solve separable ODE:

y = - W (- \frac{1}{e ^{x - c_{1}} x})

y = - W (- \frac{1}{e ^{x - c_{1}} x})

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

\frac{d r}{d s} = e^{r - 2 s}, r (0) = 0

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

\frac{d x}{d t} = 75 - \frac{x}{100}

\frac{d y}{d x} - \frac{2 x}{y} = 0