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

The solution for (dy)/(dx)=((y^2-1))/(x^2-1),y(2)=2 is y=x

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

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

y = x

Solution steps

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

Solve separable ODE:

y = x

y = x

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\int 14 x - 5 d x

x = y^{4}, x = y^{5}

\int - 2 x + 6 x^{2} - 4 x^{3} + 18 d x

n = 0 \sum \infty sin^{n} (2)

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