de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)= 1/(x-x^3)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{1}{x - x ^{3}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

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

\int \frac{1}{x - x ^{3}} d x = ln (x) - \frac{1}{2} ln (x + 1) - \frac{1}{2} ln (x - 1) + c_{1}

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2x-3y+5z)

\frac{\partial}{\partial x} (2 x - 3 y + 5 z)

integral of 3^{2x}cos^2(3^x)

\int 3^{2 x} cos^{2} (3^{x}) d x

f (x) = x - 3

2x(dy)/(dx)+y=10sqrt(x)

2 x \frac{d y}{d x} + y = 10 x

integral of e^{-x}sec^2(e^{-x})

\int e^{- x} sec^{2} (e^{- x}) d x