(dy)/(dx)=-(xy)/(y-1)

Lösung

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

y = - W (- \frac{1}{e ^{\frac{c _{1} - x ^{2}}{2}}})

Schritte zur Lösung

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

Solve separable ODE:

y = - W (- \frac{1}{e ^{\frac{c _{1} - x ^{2}}{2}}})

y = - W (- \frac{1}{e ^{\frac{c _{1} - x ^{2}}{2}}})

a re a y = x^{2}, y = 8 + x

9 \frac{d}{d x} (\frac{d y}{d x}) + 10 y = 0

x \to - 3 - lim (\frac{x}{x + 3})

x \to 0 lim ((x) (ln (x))^{2})

\frac{d}{d x} (sin (x) x)