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Beliebt Rechnen >

y^'=sqrt(xy)

Lösung

y^{^{'}} = x y

Lösung

y = \frac{x ^{3}}{9} + \frac{c _{1} x ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

y^{'} (x) = x y

Solve separable ODE:

y = \frac{x ^{3}}{9} + \frac{c _{1} x ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{3}}{9} + \frac{c _{1} x ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

integral from 9 to 16 of 1/(6-sqrt(x))

\int_{9}^{16} \frac{1}{6 - x} d x

derivative of (ln(x-10)/(ln(10)))

\frac{d}{d x} (\frac{ln ( x ) - 10}{ln ( 10 )})

integral from 2 to e^4 of 1/x

\int_{2}^{e^{4}} \frac{1}{x} d x

inverselaplace 4/(s^4)

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

integral of x^7e^{3x^4}

\int x^{7} e^{3 x^{4}} d x