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Beliebt Rechnen >

7sqrt(xy)(dy)/(dx)=3,y>0,x>0

Lösung

7 x y \frac{d y}{d x} = 3, y > 0, x > 0

Lösung

y = 3 \frac{81 x}{49} + \frac{27 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

7 x y \frac{d y}{d x} = 3

Solve separable ODE:

y = 3 \frac{81 x}{49} + \frac{27 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{81 x}{49} + \frac{27 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

Graph

Beliebte Beispiele

(dx)/(dt)+(8x)/(240)=2

\frac{d x}{d t} + \frac{8 x}{240} = 2

(dy)/(dx)=4x-7xy

\frac{d y}{d x} = 4 x - 7 x y

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\frac{d y}{d x} = \frac{cos ( x )}{3 y}

(dy)/(dx)y=(x^6ln(x))^4

\frac{d y}{d x} y = (x^{6} ln (x))^{4}