Solve the differential equation (x2-1) racdydx = 2x(1−y)

Step 1: Separate the variables in the differential equation.
The given differential equation is $(x^2-1)\frac{dy}{dx} = 2x(1-y)$.
We can rewrite this by separating $y$ and $x$ terms:

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

Step 2: Integrate both sides of the separated equation.
Integrating both sides gives:

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