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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

\frac{d y}{d 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

(\partial)/(\partial x)((x^2+2y)/(x^3-y^2))

\frac{\partial}{\partial x} (\frac{x ^{2} + 2 y}{x ^{3} - y ^{2}})

derivative of ln(xsqrt(x^2-5))

\frac{d}{d x} (ln (x x^{2} - 5))

integral of 1/(xln^5(x))

\int \frac{1}{x ln ^{5} ( x )} d x

derivative (e^{3x^2})/(5x)

d er i v a t i v e \frac{e ^{3 x^{2}}}{5 x}

steigung (19.3)(20.3)

s l o p e (19.3) (20.3)