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Beliebt Rechnen >

(dy)/(dx)=4x(x-2)

Lösung

\frac{d y}{d x} = 4 x (x - 2)

Lösung

y = 4 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 4 x (x - 2)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 4 x (x - 2)

Wenn

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

dann

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

y = \int 4 x (x - 2) d x

\int 4 x (x - 2) d x = 4 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

y = 4 (\frac{x ^{3}}{3} - x^{2}) + c_{1}

Graph

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