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Beliebt Rechnen >

(dx)/(dt)=3x(5-x)

Lösung

\frac{d x}{d t} = 3 x (5 - x)

Lösung

x = \frac{5}{e ^{- 15 t + c_{1}} + 1}

Schritte zur Lösung

\frac{d x}{d t} = 3 x (5 - x)

Solve Bernoulli ODE:

x = \frac{5}{e ^{- 15 t + c_{1}} + 1}

x = \frac{5}{e ^{- 15 t + c_{1}} + 1}

Graph

Beliebte Beispiele

normal f(x)= 1/(x^2),(-1,1)

n or ma l f (x) = \frac{1}{x ^{2}}, (- 1, 1)

y^'=0.3y(1-y/(2500))-120

y^{^{'}} = 0.3 y (1 - \frac{y}{2500}) - 120

inverselaplace (6s+3)/(s^4+5s^2+4)

in v erse l a pl a ce \frac{6 s + 3}{s ^{4} + 5 s ^{2} + 4}

x y^{^{'}} + 4 y = 8 x^{4}

integral of 27x^7+3x^5-45x^3+sqrt(2x)

\int 27 x^{7} + 3 x^{5} - 45 x^{3} + 2 x d x