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Beliebt Rechnen >

(dy)/(dx)=xsqrt(x-27)

Lösung

\frac{d y}{d x} = x x - 27

Lösung

y = \frac{2}{5} (x - 27)^{\frac{5}{2}} + 18 (x - 27)^{\frac{3}{2}} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = x x - 27

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x x - 27

Wenn

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

dann

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

y = \int x x - 27 d x

\int x x - 27 d x = \frac{2}{5} (x - 27)^{\frac{5}{2}} + 18 (x - 27)^{\frac{3}{2}} + c_{1}

y = \frac{2}{5} (x - 27)^{\frac{5}{2}} + 18 (x - 27)^{\frac{3}{2}} + c_{1}

Graph

Beliebte Beispiele

derivative of 5cot(2/x)

\frac{d}{d x} (5 cot (\frac{2}{x}))

inverselaplace 8/(3s^2+12)+3/(s^2-49)

in v erse l a pl a ce \frac{8}{3 s ^{2} + 12} + \frac{3}{s ^{2} - 49}

integral of sqrt(1+64x^2)

\int 1 + 64 x^{2} d x

integral of e^2cos(x)

\int e^{2} cos (x) d x

inverselaplace 4/(s^4+4)

in v erse l a pl a ce \frac{4}{s ^{4} + 4}