What is the solution for y^'=0.2ln((2000)/y)y ?

The solution for y^'=0.2ln((2000)/y)y is y=(2000}{e^{e^{\frac{-t-c_{1})/5}}}

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

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

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

Solution steps

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}}}}

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

x \to \infty lim (0)

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

\int e^{- 19 x} d x

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

What is the solution for y^'=0.2ln((2000)/y)y ?
The solution for y^'=0.2ln((2000)/y)y is y=(2000}{e^{e^{\frac{-t-c_{1})/5}}}