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Beliebt Rechnen >

(dy)/(dx)=2sqrt(xy)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of ((x-1^2)/(x+2))

\frac{d}{d x} (\frac{( x - 1 ) ^{2}}{x + 2})

integral of (e^{2x}+x)

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

derivative-0.0000272x^2+0.008459x+440

d er i v a t i v e - 0.0000272 x^{2} + 0.008459 x + 440

limit as x approaches infinity of-(4x)/5

x \to \infty lim (- \frac{4 x}{5})

(d^2)/(dx^2)((x^2)/(x-1))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{x - 1})