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Beliebt Rechnen >

(dy)/(dx)=2y(1-y)

Lösung

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

Lösung

y = - \frac{e ^{2 x + c_{1}}}{1 - e ^{2 x + c_{1}}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{e ^{2 x + c_{1}}}{1 - e ^{2 x + c_{1}}}

y = - \frac{e ^{2 x + c_{1}}}{1 - e ^{2 x + c_{1}}}

Graph

Beliebte Beispiele

derivative (x^2+5x+6)/(x^2-4)

d er i v a t i v e \frac{x ^{2} + 5 x + 6}{x ^{2} - 4}

derivative 2/((6x^2+5x+1)^2)

d er i v a t i v e \frac{2}{( 6 x ^{2} + 5 x + 1 ) ^{2}}

integral of 1/(aauu)

\int \frac{1}{aa uu} d u

derivative of 1/(sin(x^2))

\frac{d}{d x} (\frac{1}{sin ( x ^{2} )})

integral of e^{4x}cos(3x)

\int e^{4 x} cos (3 x) d x