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Beliebt Rechnen >

(dx)/(dt)=2x(5-x)

Lösung

\frac{d x}{d t} = 2 x (5 - x)

Lösung

x = \frac{5}{e ^{- 10 t + c_{1}} + 1}

Schritte zur Lösung

\frac{d x}{d t} = 2 x (5 - x)

Solve Bernoulli ODE:

x = \frac{5}{e ^{- 10 t + c_{1}} + 1}

x = \frac{5}{e ^{- 10 t + c_{1}} + 1}

Graph

Beliebte Beispiele

y^{^{'}} = e^{2 y + 6 x}

integral of (8x^3+8x^2+8)/(x^2+x)

\int \frac{8 x ^{3} + 8 x ^{2} + 8}{x ^{2} + x} d x

integral of (xln(x))/x

\int \frac{x ln ( x )}{x} d x

tangent f(x)= 1/(x^5),(2, 1/32)

t an g e n t f (x) = \frac{1}{x ^{5}}, (2, \frac{1}{32})

derivative f(t)=sqrt(2t^2-t)

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