de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} x^{2} + 1, y = - c_{1} x^{2} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x^{2} + 1, y = - c_{1} x^{2} + 1

y = c_{1} x^{2} + 1, y = - c_{1} x^{2} + 1

Graph

Beliebte Beispiele

derivative of (x^4-5x^3+sqrt(x)/(x^2))

\frac{d}{d x} (\frac{x ^{4} - 5 x ^{3} + x}{x ^{2}})

(dy)/(dx)=(e^x+1)/(2y)

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

limit as x approaches-infinity of 4x

x \to - \infty lim (4 x)

integral of 1/(3-2x)

\int \frac{1}{3 - 2 x} d x

integral of 1/(sqrt(1+4x^2))

\int \frac{1}{1 + 4 x ^{2}} d x