What is the solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8 ?

The solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8 is y=x

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(dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

y = x

Solution steps

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

Solve separable ODE:

y = x

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What is the solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8 ?
The solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(8)=8 is y=x