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+y)/(1+x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'+5y=0,y(pi/2)=0

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 0

integral of sqrt(4+x)

\int 4 + x d x

derivative of sqrt(x^2+\sqrt{2x)}

\frac{d}{d x} (x^{2} + 2 x)

(y-xy^2)dx+xdy=0

(y - x y^{2}) d x + x d y = 0

sum from n=1 to infinity of 1/(n^2+n)

n = 1 \sum \infty \frac{1}{n ^{2} + n}