What is the solution for (dy)/(dt)=ky(1-y/(4600)) ?

The solution for (dy)/(dt)=ky(1-y/(4600)) is y=-(4600e^{kt+c_{1}})/(1-e^{kt+c_{1)}}

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(dy)/(dt)=ky(1-y/(4600))

\frac{d y}{d t} = k y (1 - \frac{y}{4600})

y = - \frac{4600 e ^{k t + c_{1}}}{1 - e ^{k t + c_{1}}}

Solution steps

\frac{d y}{d t} = k y (t) (1 - \frac{y}{4600})

Solve separable ODE:

y = - \frac{4600 e ^{k t + c_{1}}}{1 - e ^{k t + c_{1}}}

y = - \frac{4600 e ^{k t + c_{1}}}{1 - e ^{k t + c_{1}}}

f (x) = 8 sin (x), g (x) = 8 cos (2 x)

f (x) = \frac{1}{6} (2 x + 1)^{3}

\int \frac{( x ^{5} - x ^{3} + 6 x )}{x ^{4}} d x

x^{3} - 11 x^{2} + 30 x, - x^{3} + 11 x^{2} - 30 x

f (x) = (x - 2)^{3} (x - 1)

What is the solution for (dy)/(dt)=ky(1-y/(4600)) ?
The solution for (dy)/(dt)=ky(1-y/(4600)) is y=-(4600e^{kt+c_{1}})/(1-e^{kt+c_{1)}}