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Beliebt Rechnen >

y^'=0.2ln((2000)/y)y

Lösung

y^{^{'}} = 0.2 ln (\frac{2000}{y}) y

Lösung

y = \frac{2000}{e ^{e^{\frac{- t - c _{1}}{5}}}}

Schritte zur Lösung

y^{'} (t) = 0.2 ln (\frac{2000}{y}) y

Solve separable ODE:

y = \frac{2000}{e ^{e^{\frac{- t - c _{1}}{5}}}}

y = \frac{2000}{e ^{e^{\frac{- t - c _{1}}{5}}}}

Graph

Beliebte Beispiele

derivative of 6/(1+cos(x))

\frac{d}{d x} (\frac{6}{1 + cos ( x )})

limit as x approaches infinity of 0

x \to \infty lim (0)

y^{''}+8y^'+16y=5e^{-4t}

y^{^{''}} + 8 y^{^{'}} + 16 y = 5 e^{- 4 t}

integral of e^{-19x}

\int e^{- 19 x} d x

fläche-3x-x^2,-10

a re a - 3 x - x^{2}, - 10