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Beliebt Rechnen >

y^'=y(1-y),y(0)=8

Lösung

y^{^{'}} = y (1 - y), y (0) = 8

Lösung

y = \frac{8 e ^{t}}{- 7 + 8 e ^{t}}

Schritte zur Lösung

y^{'} (t) = y (1 - y)

Solve Bernoulli ODE:

y = \frac{8 e ^{t}}{- 7 + 8 e ^{t}}

y = \frac{8 e ^{t}}{- 7 + 8 e ^{t}}

Graph

Beliebte Beispiele

derivative xcos(x)-sin(x)

d er i v a t i v e x cos (x) - sin (x)

(dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

derivative of (x^2+x^3)

\frac{d}{d x} ((x^{2} + x)^{3})

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\frac{d}{d x} (\frac{1 + x ^{2}}{1 - x ^{2}})

integral from 1 to 2 of (11)/(x^3+3x)

\int_{1}^{2} \frac{11}{x ^{3} + 3 x} d x