de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=((x-8))/(64y-384)

\frac{d y}{d x} = \frac{( x - 8 )}{64 y - 384}

(x^{2} - 1) y^{^{'}} = y

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

\frac{d y}{d x} y = u, u = x^{2} + 10

y^{^{'}} + 5 y + 4 y = 0

(dy)/(dx)+y/(50)=4,y(0)=30

\frac{d y}{d x} + \frac{y}{50} = 4, y (0) = 30