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Beliebt Rechnen >

(dy)/(dx)y=u^2-2u,u= 1/(x^2)

Lösung

\frac{d y}{d x} y = u^{2} - 2 u, u = \frac{1}{x ^{2}}

Lösung

y = 2 (u^{2} - 2 u) x + c_{1}, y = - 2 (u^{2} - 2 u) x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = u^{2} - 2 u

Solve separable ODE:

y = 2 (u^{2} - 2 u) x + c_{1}, y = - 2 (u^{2} - 2 u) x + c_{1}

y = 2 (u^{2} - 2 u) x + c_{1}, y = - 2 (u^{2} - 2 u) x + c_{1}

Graph

Beliebte Beispiele

3= pi/(12) d/(dt)((h(t))^3)

3 = \frac{π}{12} \frac{d}{d t} ((h (t))^{3})

2sin(3x)sin(2y)dy=3cos(3x)cos(2y)dx

2 sin (3 x) sin (2 y) d y = 3 cos (3 x) cos (2 y) d x

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

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

(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