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Beliebt Rechnen >

(dy)/(dx)=y(1-0.0008y)

Lösung

\frac{d y}{d x} = y (1 - 0.0008 y)

Lösung

y = - \frac{e ^{x + c_{1}}}{1 - 0.0008 e ^{x + c_{1}}}

Schritte zur Lösung

\frac{d y}{d x} = y (1 - 0.0008 y)

Solve separable ODE:

y = - \frac{e ^{x + c_{1}}}{1 - 0.0008 e ^{x + c_{1}}}

y = - \frac{e ^{x + c_{1}}}{1 - 0.0008 e ^{x + c_{1}}}

Graph

Beliebte Beispiele

derivative of 9sqrt(x)+7

\frac{d}{d x} (9 x + 7)

6y^{''}-6y^'+39y=0

6 y^{^{''}} - 6 y^{^{'}} + 39 y = 0

limit as x approaches 0 of (1+x/2)^{3/x}

x \to 0 lim ((1 + \frac{x}{2})^{\frac{3}{x}})

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\frac{d}{d x} (ln (x^{2} - 4 x + 5))

derivative x_{1}+x_{2}+x_{3}-12

d er i v a t i v e x_{1} + x_{2} + x_{3} - 12