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Beliebt Rechnen >

y^'=0.05ln((4000)/y)y

Lösung

y^{^{'}} = 0.05 ln (\frac{4000}{y}) y

Lösung

y = \frac{4000}{e ^{e^{\frac{- t - c _{1}}{20}}}}

Schritte zur Lösung

y^{'} (t) = 0.05 ln (\frac{4000}{y}) y

Solve separable ODE:

y = \frac{4000}{e ^{e^{\frac{- t - c _{1}}{20}}}}

y = \frac{4000}{e ^{e^{\frac{- t - c _{1}}{20}}}}

Graph

Beliebte Beispiele

taylor ln(1+2x)

t a y l or ln (1 + 2 x)

derivative (ln(x))^3

d er i v a t i v e (ln (x))^{3}

integral of (2t)/(sqrt(1-4t^4))

\int \frac{2 t}{1 - 4 t ^{4}} d t

(dx)/(dt)=-sqrt(x)

\frac{d x}{d t} = - x

derivative of 1.5

\frac{d}{d x} (1.5)