What is the solution for (dy)/(dx)=2y(1-y/4) ?

The solution for (dy)/(dx)=2y(1-y/4) is y=-(4e^{2x+c_{1}})/(1-e^{2x+c_{1)}}

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(dy)/(dx)=2y(1-y/4)

\frac{d y}{d x} = 2 y (1 - \frac{y}{4})

y = - \frac{4 e ^{2 x + c_{1}}}{1 - e ^{2 x + c_{1}}}

Solution steps

\frac{d y}{d x} = 2 y (1 - \frac{y}{4})

Solve separable ODE:

y = - \frac{4 e ^{2 x + c_{1}}}{1 - e ^{2 x + c_{1}}}

y = - \frac{4 e ^{2 x + c_{1}}}{1 - e ^{2 x + c_{1}}}

\frac{d}{d x} (x^{3} arccos (x))

\frac{d}{d x} (\frac{1}{4} x^{4} - x^{3})

\int_{2}^{\infty} y e^{- 7 y} d y

\int x \cdot e^{- \frac{x}{4}} d x

\int \frac{6 + t + t ^{2}}{t} d t

What is the solution for (dy)/(dx)=2y(1-y/4) ?
The solution for (dy)/(dx)=2y(1-y/4) is y=-(4e^{2x+c_{1}})/(1-e^{2x+c_{1)}}