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Beliebt Rechnen >

x(dy)/(dx)=2

Lösung

x \frac{d y}{d x} = 2

Lösung

y = 2 ln (x) + c_{1}

Schritte zur Lösung

x \frac{d y}{d x} = 2

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

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

Isoliere

y^{'} (x) : y^{'} (x) = \frac{2}{x}

Wenn

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

dann

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

y = \int \frac{2}{x} d x

\int \frac{2}{x} d x = 2 ln (x) + c_{1}

y = 2 ln (x) + c_{1}

Graph

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x \to 0 lim (\frac{( x + 3 )}{x})

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\int 1 + e^{- 2 x} d x

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\frac{d}{d x} (a (sin (x) + x cos (x)))