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Beliebt Rechnen >

x^'=ax-bx^2

Lösung

x^{^{'}} = a x - b x^{2}

Lösung

x = - \frac{a e ^{a t + c_{1} a}}{b ( 1 - e ^{a (t + c_{1})} )}

Schritte zur Lösung

x^{'} (t) = a x - b x^{2}

Solve separable ODE:

x = - \frac{a e ^{a t + c_{1} a}}{b ( 1 - e ^{a (t + c_{1})} )}

x = - \frac{a e ^{a t + c_{1} a}}{b ( 1 - e ^{a (t + c_{1})} )}

Graph

Beliebte Beispiele

limit as x approaches-1 of (f(x))/(x+1)

x \to - 1 lim (\frac{f ( x )}{x + 1})

y^{^{'}} = \frac{- x y ^{2}}{2}

integral of 1/N

\int \frac{1}{N} d N

integral of (1/(y^2))

\int (\frac{1}{y ^{2}}) d y

derivative of x^{5/4}+e^{-3x}

\frac{d}{d x} (x^{\frac{5}{4}} + e^{- 3 x})