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=sqrt(x^2+4)

Lösung

\frac{d y}{d x} y = x^{2} + 4

Lösung

y = x 4 + x^{2} + 4 ln (\frac{x + 4 + x ^{2}}{2}) + c_{1}, y = - x 4 + x^{2} + 4 ln (\frac{x + 4 + x ^{2}}{2}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = x^{2} + 4

Solve separable ODE:

y = x 4 + x^{2} + 4 ln (\frac{x + 4 + x ^{2}}{2}) + c_{1}, y = - x 4 + x^{2} + 4 ln (\frac{x + 4 + x ^{2}}{2}) + c_{1}

y = x 4 + x^{2} + 4 ln (\frac{x + 4 + x ^{2}}{2}) + c_{1}, y = - x 4 + x^{2} + 4 ln (\frac{x + 4 + x ^{2}}{2}) + c_{1}

Graph

Beliebte Beispiele

(dy}{dx}=\frac{5e^{x^2}x+1)/y

\frac{d y}{d x} = \frac{5 e ^{x^{2}} x + 1}{y}

y - 2 y^{^{'}} + 6 y = 0

(dy)/(dx)=(sin(x))/(y^2)

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

x^{2} \cdot y^{^{'}} - y = 0

(dy)/(dx)= 1/4 e^{-2y},y(0)=0

\frac{d y}{d x} = \frac{1}{4} e^{- 2 y}, y (0) = 0