What is the solution for y^'=ky*(100-y) ?

The solution for y^'=ky*(100-y) is y=(100)/(e^{-100kt+c_{1)}+1}

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y^'=ky*(100-y)

y^{^{'}} = k y \cdot (100 - y)

y = \frac{100}{e ^{- 100 k t + c_{1}} + 1}

Solution steps

y^{'} (t) = k y (t) \cdot (100 - y)

Solve Bernoulli ODE:

y = \frac{100}{e ^{- 100 k t + c_{1}} + 1}

y = \frac{100}{e ^{- 100 k t + c_{1}} + 1}

f (x) \frac{1}{2 x + 1}, at x = 7

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{x})

\int \frac{8 + 3 x}{1 + x ^{2}} d x

y = 2 x^{2} + 4 x - 10

\int \frac{x ^{2} - 64}{x ^{3}} d x

What is the solution for y^'=ky*(100-y) ?
The solution for y^'=ky*(100-y) is y=(100)/(e^{-100kt+c_{1)}+1}