(dx)/x =(xdy)/(y^2)

Lösung

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

y = - \frac{x}{- 1 + c _{1} x}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{x}{- 1 + c _{1} x}

y = - \frac{x}{- 1 + c _{1} x}

4 \cdot y^{^{'}} + y = 0

\frac{d y}{d t} = - \frac{y}{15 + t}

\frac{x ^{2}}{y} - 4 x e^{y^{2}} y^{^{'}} = 0

\frac{d P}{d t} = 1.4 P (1 - \frac{P}{4600})

y^{^{'}} = 9.8 - \frac{y}{5}