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Beliebt Rechnen >

4/(sqrt(x))+(\frac{dy)/(dx)}{2sqrt(y)}=0

Lösung

\frac{4}{x} + \frac{\frac{d y}{d x}}{2 y} = 0

Lösung

y = 64 x - 16 c_{1} x + c_{1}^{2}

Schritte zur Lösung

\frac{4}{x} + \frac{\frac{d y}{d x}}{2 y} = 0

Solve separable ODE:

y = 64 x - 16 c_{1} x + c_{1}^{2}

y = 64 x - 16 c_{1} x + c_{1}^{2}

Graph

Beliebte Beispiele

2y^2e^{xy^2}dx+2xye^{xy^2}dy=0

2 y^{2} e^{x y^{2}} d x + 2 x y e^{x y^{2}} d y = 0

y^{^{'}} = - 2 y e^{t}

7y(dy)/(dx)=4x^2

7 y \frac{d y}{d x} = 4 x^{2}

(dy)/(dt)=3y^2t

\frac{d y}{d t} = 3 y^{2} t

y^'=sqrt(y^2-1)

y^{^{'}} = y^{2} - 1