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Beliebt Rechnen >

(dy)/(dx)=(2x+5)/(x(1+2y))

Lösung

\frac{d y}{d x} = \frac{2 x + 5}{x ( 1 + 2 y )}

Lösung

y = \frac{- 1 + 1 - 4 ( - c _{1} - 5 ln ( x ) - 2 x )}{2}, y = \frac{- 1 - 1 - 4 ( - c _{1} - 5 ln ( x ) - 2 x )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 x + 5}{x ( 1 + 2 y )}

Solve separable ODE:

y = \frac{- 1 + 1 - 4 ( - c _{1} - 5 ln ( x ) - 2 x )}{2}, y = \frac{- 1 - 1 - 4 ( - c _{1} - 5 ln ( x ) - 2 x )}{2}

y = \frac{- 1 + 1 - 4 ( - c _{1} - 5 ln ( x ) - 2 x )}{2}, y = \frac{- 1 - 1 - 4 ( - c _{1} - 5 ln ( x ) - 2 x )}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=-sqrt(y/x)

y^'-y=2,te^{2t}y(0)=1

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