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Beliebt Rechnen >

3(dy)/(dx)=x^2

Lösung

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

Lösung

y = \frac{x ^{3}}{9} + c_{1}

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

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

Isoliere

y^{'} (x) : y^{'} (x) = \frac{x ^{2}}{3}

Wenn

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

dann

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

y = \int \frac{x ^{2}}{3} d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9} + c_{1}

y = \frac{x ^{3}}{9} + c_{1}

Graph

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