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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

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

Wenn

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

dann

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

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

\int x^{\frac{3}{2}} d x = \frac{2}{5} x^{\frac{5}{2}} + c_{1}

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

Graph

Beliebte Beispiele

integral of-1/(n^2)cos(nt)

\int - \frac{1}{n ^{2}} cos (n t) d t

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\int (9 x 1 + 2 x^{2}) d x

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x \to 0 lim (\frac{x ^{2} - x}{x})