## Step-by-step explanation

Problem to solve:

Learn how to solve differential equations problems step by step online.

$\frac{1}{y^2-1}dy=\frac{1}{x^2-1}dx$

Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(y^2-1)/(x^2-1). Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side. Integrate both sides, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{y^2-1}dy and replace the result in the differential equation. Solve the integral \int\frac{1}{x^2-1}dx and replace the result in the differential equation.