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Beliebt Rechnen >

f^'(x)=f(x)(1-f(x))

Lösung

f^{^{'}} (x) = f (x) (1 - f (x))

Lösung

f (x) = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

Schritte zur Lösung

f^{'} (x) = f (x) (1 - f (x))

Solve separable ODE:

f (x) = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

f (x) = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

Graph

Beliebte Beispiele

derivative f(x)=200+7/x+(x^2)/7

d er i v a t i v e f (x) = 200 + \frac{7}{x} + \frac{x ^{2}}{7}

y^{^{'}} = x (9 - y)

sum from n=1 to infinity of 1/(n+9)

n = 1 \sum \infty \frac{1}{n + 9}

integral of ((x-4)^2(x+1))/x

\int \frac{( x - 4 ) ^{2} ( x + 1 )}{x} d x

x y^{^{'}} = 2 y + 8 x