What is the solution for (dy}{dt}=0.1ln(\frac{4000)/y)y ?

The solution for (dy}{dt}=0.1ln(\frac{4000)/y)y is y=(4000)/(e^{e^{\frac{-t-c_{1)}{10}}}}

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(dy}{dt}=0.1ln(\frac{4000)/y)y

\frac{d y}{d t} = 0.1 ln (\frac{4000}{y}) y

y = \frac{4000}{e ^{e^{\frac{- t - c _{1}}{10}}}}

Solution steps

\frac{d y}{d t} = 0.1 ln (\frac{4000}{y}) y

Solve separable ODE:

y = \frac{4000}{e ^{e^{\frac{- t - c _{1}}{10}}}}

y = \frac{4000}{e ^{e^{\frac{- t - c _{1}}{10}}}}

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What is the solution for (dy}{dt}=0.1ln(\frac{4000)/y)y ?
The solution for (dy}{dt}=0.1ln(\frac{4000)/y)y is y=(4000)/(e^{e^{\frac{-t-c_{1)}{10}}}}