de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)+2x^2=0

Lösung

\frac{d y}{d x} + 2 x^{2} = 0

Lösung

y = - \frac{2 x ^{3}}{3} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} + 2 x^{2} = 0

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) + 2 x^{2} = 0

Isoliere

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

Wenn

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

dann

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

y = \int - 2 x^{2} d x

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

y = - \frac{2 x ^{3}}{3} + c_{1}

Graph

Beliebte Beispiele

integral of (e^x)/(e^x+6)

\int \frac{e ^{x}}{e ^{x} + 6} d x

derivative xe^{-1/x}

d er i v a t i v e x e^{- \frac{1}{x}}

x(e^{y/x}-1)(dy)/(dx)=e^{y/x}(y-x)

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

derivative of (e^x/(7x^3))

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{3}})

integral of (sin(x))/(cos(x)-cos^2(x))

\int \frac{sin ( x )}{cos ( x ) - cos ^{2} ( x )} d x