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Beliebt Rechnen >

7sqrt(xy)(dy)/(dx)=2x,y>0

Lösung

7 x y \frac{d y}{d x} = 2 x, y > 0

Lösung

y = 3 \frac{4 x ^{3}}{49} + \frac{6 c _{1} x ^{\frac{3}{2}}}{7} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 \frac{4 x ^{3}}{49} + \frac{6 c _{1} x ^{\frac{3}{2}}}{7} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{4 x ^{3}}{49} + \frac{6 c _{1} x ^{\frac{3}{2}}}{7} + \frac{9 c _{1}^{2}}{4}

Graph

Beliebte Beispiele

x^'=(1+t)/(2tx)

x^{^{'}} = \frac{1 + t}{2 t x}

(dy)/(dt)+sqrt(1+t^2)y=0

\frac{d y}{d t} + 1 + t^{2} y = 0

y^'=-3ye^t,y(0)=1

y^{^{'}} = - 3 y e^{t}, y (0) = 1

2xy^2-x^2y+(2y-x)y^'=0

2 x y^{2} - x^{2} y + (2 y - x) y^{^{'}} = 0

y^'+x^3y=0,y(0)=e

y^{^{'}} + x^{3} y = 0, y (0) = e