What is the solution for (dy)/(dx)=((y^2-1))/(x^2-1),y(7)=7 ?

The solution for (dy)/(dx)=((y^2-1))/(x^2-1),y(7)=7 is y=x

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(dy)/(dx)=((y^2-1))/(x^2-1),y(7)=7

\frac{d y}{d x} = \frac{( y ^{2} - 1 )}{x ^{2} - 1}, y (7) = 7

y = x

Solution steps

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

Solve separable ODE:

y = x

y = x

\int e^{\frac{x}{5}} d x

y^{^{'}} = 8 x^{3} + 2 \frac{y}{x}

\frac{d y}{d t} = - 2 y, y (0) = 2

\int \frac{1}{( 4 + x ^{2} ) ^{3}} d x

n = 1 \sum \infty n (\frac{5}{4})^{n}

What is the solution for (dy)/(dx)=((y^2-1))/(x^2-1),y(7)=7 ?
The solution for (dy)/(dx)=((y^2-1))/(x^2-1),y(7)=7 is y=x