de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

\frac{( 1 + y )}{1 - 2 y - y ^{2}} \frac{d y}{d x} = \frac{1}{x}

Lösung

y = \frac{- x + 2 x ^{2} + c _{1}}{x}, y = - \frac{x + 2 x ^{2} + c _{1}}{x}

Schritte zur Lösung

\frac{( 1 + y )}{1 - 2 y - y ^{2}} \frac{d y}{d x} = \frac{1}{x}

Solve separable ODE:

y = \frac{- x + 2 x ^{2} + c _{1}}{x}, y = - \frac{x + 2 x ^{2} + c _{1}}{x}

y = \frac{- x + 2 x ^{2} + c _{1}}{x}, y = - \frac{x + 2 x ^{2} + c _{1}}{x}

Graph

Beliebte Beispiele

(dr)/(dt)=0.1872*r

\frac{d r}{d t} = 0.1872 \cdot r

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

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

y^'=(x^2-4)(3y+2)

y^{^{'}} = (x^{2} - 4) (3 y + 2)

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

(x^{2} + 2 x - 1) \frac{d y}{d x} - (x + 1) y = x + 1

y^{^{'}} = 0.1 y^{2}