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Beliebt Rechnen >

(dy)/(dx)=9sqrt(xy)

Lösung

\frac{d y}{d x} = 9 x y

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = 9 x y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

\frac{d x}{d t} = t x

y^'=(t^3)/y ,y(0)=4

y^{^{'}} = \frac{t ^{3}}{y}, y (0) = 4

(dy)/(dx)=x^2+x^2y

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

(dv)/(dt)=sqrt(9.8v),v(0)=5.3

\frac{d v}{d t} = 9.8 v, v (0) = 5.3

(dx)/(dt)=100-x/(100),x=4000,t=0

\frac{d x}{d t} = 100 - \frac{x}{100}, x = 4000, t = 0