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

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

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

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

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

Solution steps

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

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 sin^{2} (x)

3 x^{2} e^{x} + e^{x} x^{3}

x \to 0 lim (4 x^{2} - 2 x - 6)

x^{x^{3}}

f (x) =, 4 at x

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