What is the solution for (dP}{dt}=(P/5)(log_{e}(\frac{3000)/P)) ?

The solution for (dP}{dt}=(P/5)(log_{e}(\frac{3000)/P)) is P=(3000}{e^{e^{\frac{-t-c_{1})/5}}}

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(dP}{dt}=(P/5)(log_{e}(\frac{3000)/P))

\frac{d P}{d t} = (\frac{P}{5}) (lo g_{e} (\frac{3000}{P}))

P = \frac{3000}{e ^{e^{\frac{- t - c _{1}}{5}}}}

Solution steps

\frac{d P}{d t} = (\frac{P}{5}) (lo g_{e} (\frac{3000}{P}))

Solve separable ODE:

P = \frac{3000}{e ^{e^{\frac{- t - c _{1}}{5}}}}

P = \frac{3000}{e ^{e^{\frac{- t - c _{1}}{5}}}}

\frac{\partial}{\partial x} (6 y^{5} sin (3 x))

y = (x^{2} + 5 x + 2)^{3}

x \to \frac{c}{2 ^{-}} lim ([2 x - 4])

(y^{2} + x y^{2}) y^{^{'}} = 1

g (x) = \frac{3 x + 1}{( 2 x ^{2} - 5 ) ^{2}}

What is the solution for (dP}{dt}=(P/5)(log_{e}(\frac{3000)/P)) ?
The solution for (dP}{dt}=(P/5)(log_{e}(\frac{3000)/P)) is P=(3000}{e^{e^{\frac{-t-c_{1})/5}}}