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Beliebt Rechnen >

(dy)/(dx)=xsqrt(x-24)

Lösung

\frac{d y}{d x} = x x - 24

Lösung

y = \frac{2}{5} (x - 24)^{\frac{5}{2}} + 16 (x - 24)^{\frac{3}{2}} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = x x - 24

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x x - 24

Wenn

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

dann

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

y = \int x x - 24 d x

\int x x - 24 d x = \frac{2}{5} (x - 24)^{\frac{5}{2}} + 16 (x - 24)^{\frac{3}{2}} + c_{1}

y = \frac{2}{5} (x - 24)^{\frac{5}{2}} + 16 (x - 24)^{\frac{3}{2}} + c_{1}

Graph

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