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Beliebt Rechnen >

(dx)/(dy)=y(4x^2-1)

Lösung

\frac{d x}{d y} = y (4 x^{2} - 1)

Lösung

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

Schritte zur Lösung

\frac{d}{d y} (x) = y (4 x^{2} - 1)

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)y=ln((x^5+7)^{2pi})

\frac{d y}{d x} y = ln ((x^{5} + 7)^{2 π})

(dy)/(dx)=(x^2)/(y+3)

\frac{d y}{d x} = \frac{x ^{2}}{y + 3}

1/((x+7))(dx)/(dy)=e^{(3x-2y)}

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y^'+(10)/(40+2t)y=0

y^{^{'}} + \frac{10}{40 + 2 t} y = 0

(1-t)(dy)/(dt)-y=0

(1 - t) \frac{d y}{d t} - y = 0