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Beliebt Rechnen >

(dx)/(dt)=30-11x+x^2

Lösung

\frac{d x}{d t} = 30 - 11 x + x^{2}

Lösung

x = - \frac{5 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}} + \frac{6}{1 - e ^{t + c_{1}}}

Schritte zur Lösung

\frac{d x}{d t} = 30 - 11 x + x^{2}

Solve separable ODE:

x = - \frac{5 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}} + \frac{6}{1 - e ^{t + c_{1}}}

x = - \frac{5 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}} + \frac{6}{1 - e ^{t + c_{1}}}

Graph

Beliebte Beispiele

derivative of (xy)=(y)x

\frac{d}{d x} ((x) y) = (y) x

derivative of z(x*e^{2x})=e^{2x}

\frac{d}{d x} (z (x) \cdot e^{2 x}) = e^{2 x}

e^{y} \cdot d y - 2 x \cdot d x = 0

(dy)/(dt)+24*10^{-3}y=384*10^{-3}

\frac{d y}{d t} + 24 \cdot 1 0^{- 3} y = 384 \cdot 1 0^{- 3}

(dy)/(dx)((x^2)/(3y^2))=1

\frac{d y}{d x} (\frac{x ^{2}}{3 y ^{2}}) = 1