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

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

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(x^2-1)((dy)/(dx))=2y

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

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

Solution steps

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

Solve separable ODE:

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

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

x - y^{2} = 0, x + 2 y^{2} = 3

\frac{\partial}{\partial x} (x^{2} y^{2} z^{2})

f (x) = 7 x + 4, (3, 5)

\frac{d}{d x} (cot^{2} (x) csc (x))

\int x sin (6 x^{2} + 2) d x

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