What is the solution for y^'=0.2ln((3000)/y)y,y(0)=1000 ?

The solution for y^'=0.2ln((3000)/y)y,y(0)=1000 is y=1000*3^{1-e^{-t/5}}

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y^'=0.2ln((3000)/y)y,y(0)=1000

y^{^{'}} = 0.2 ln (\frac{3000}{y}) y, y (0) = 1000

y = 1000 \cdot 3^{1 - e^{- \frac{t}{5}}}

Solution steps

y^{'} (t) = 0.2 ln (\frac{3000}{y}) y

Solve separable ODE:

y = 1000 \cdot 3^{1 - e^{- \frac{t}{5}}}

y = 1000 \cdot 3^{1 - e^{- \frac{t}{5}}}

\int \frac{x + 2}{x ^{2} + x + 1} d x

\frac{d}{d x} (π^{2})

x \to 0 lim (8 e^{- x} tan (x))

x \to - 5 lim (\frac{1}{( x ^{2} - 25 )})

What is the solution for y^'=0.2ln((3000)/y)y,y(0)=1000 ?
The solution for y^'=0.2ln((3000)/y)y,y(0)=1000 is y=1000*3^{1-e^{-t/5}}