What is the solution for y'=0.1(5-y)y ?

The solution for y'=0.1(5-y)y is y=(5(10e^{(-c_{1}-t)/2}+1))/(1-100e^{-c_{1)-t}}

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y'=0.1(5-y)y

y^{^{'}} = 0.1 (5 - y) y

y = \frac{5 ( 10 e ^{\frac{- c _{1} - t}{2}} + 1 )}{1 - 100 e ^{- c_{1} - t}}

Solution steps

y^{'} (t) = 0.1 (5 - y) y

Solve Bernoulli ODE:

y = \frac{5 ( 10 e ^{\frac{- c _{1} - t}{2}} + 1 )}{1 - 100 e ^{- c_{1} - t}}

y = \frac{5 ( 10 e ^{\frac{- c _{1} - t}{2}} + 1 )}{1 - 100 e ^{- c_{1} - t}}

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What is the solution for y'=0.1(5-y)y ?
The solution for y'=0.1(5-y)y is y=(5(10e^{(-c_{1}-t)/2}+1))/(1-100e^{-c_{1)-t}}