What is the solution for (dy}{dx}=\frac{y^2-1)/2 ?

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

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(dy}{dx}=\frac{y^2-1)/2

\frac{d y}{d x} = \frac{y ^{2} - 1}{2}

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

Solution steps

\frac{d y}{d x} = \frac{y ^{2} - 1}{2}

Solve separable ODE:

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

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

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