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Beliebt Rechnen >

(dy)/(dx)=y(0.1-10^{-7}y)

Lösung

\frac{d y}{d x} = y (0.1 - 1 0^{- 7} y)

Lösung

y = \frac{0.1 e ^{\frac{x + c _{1}}{10}}}{0.0000001 ( - 1 + e ^{\frac{c _{1} + x}{10}} )}

Schritte zur Lösung

\frac{d y}{d x} = y (0.1 - 1 0^{- 7} y)

Solve separable ODE:

y = \frac{0.1 e ^{\frac{x + c _{1}}{10}}}{0.0000001 ( - 1 + e ^{\frac{c _{1} + x}{10}} )}

y = \frac{0.1 e ^{\frac{x + c _{1}}{10}}}{0.0000001 ( - 1 + e ^{\frac{c _{1} + x}{10}} )}

Graph

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