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Beliebt Rechnen >

(dy)/(dt)=ky(1-y)

Lösung

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

Lösung

y = - \frac{e ^{k t + c_{1}}}{1 - e ^{k t + c_{1}}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{e ^{k t + c_{1}}}{1 - e ^{k t + c_{1}}}

y = - \frac{e ^{k t + c_{1}}}{1 - e ^{k t + c_{1}}}

Graph

Beliebte Beispiele

integral of xsqrt(x^2+5)

\int x x^{2} + 5 d x

integral of (-x+3)^2

\int (- x + 3)^{2} d x

(ln (ln (x)))^{^{'}}

derivative f(x)=x^3(3-x)^2

d er i v a t i v e f (x) = x^{3} (3 - x)^{2}

derivative y=cot^2(sin(x))

d er i v a t i v e y = cot^{2} (sin (x))