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

x \to \infty lim (5 x)

\int_{0}^{6} 7000 t e^{- 0.1 t} d t

\int_{1}^{10} \frac{5}{x ^{3}} d x

\int \frac{6 x ^{2} + 7 x + 6}{( x ^{2} + 1 ) ^{2}} d x

(- 2, 10), (4, - 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