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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

derivative of (2-x/(x+1))

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

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

\frac{d y}{d x} = x + y + 1

derivative f(x)=(x+1)^3

d er i v a t i v e f (x) = (x + 1)^{3}

((x^2}{100}+8+\frac{20)/x)^'

(\frac{x ^{2}}{100} + 8 + \frac{20}{x})^{^{'}}

3y^{''}+6y^'+2y=0

3 y^{^{''}} + 6 y^{^{'}} + 2 y = 0