What is the solution for (dy}{dx}-y-\frac{y^2)/4 =0 ?

The solution for (dy}{dx}-y-\frac{y^2)/4 =0 is y=(4e^{x+c_{1}})/(1-e^{x+c_{1)}}

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(dy}{dx}-y-\frac{y^2)/4 =0

\frac{d y}{d x} - y - \frac{y ^{2}}{4} = 0

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

Solution steps

\frac{d y}{d x} - y - \frac{y ^{2}}{4} = 0

Solve separable ODE:

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

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

\int (2 x + 8 x^{2}) d x

\frac{d}{d x} (\frac{y}{x ^{2}})

y = x^{2} - 4, y = 0

y^{^{''}} - 6 y^{^{'}} - 8 y = 0

x + \frac{1}{x}

What is the solution for (dy}{dx}-y-\frac{y^2)/4 =0 ?
The solution for (dy}{dx}-y-\frac{y^2)/4 =0 is y=(4e^{x+c_{1}})/(1-e^{x+c_{1)}}