Let \( C_1 \) be the curve obtained by the solution of differential equation \( 2xy \, \dfrac{dy}{dx} = y^2 - x^2, \, x>0 \). Let the curve \( C_2 \) be the solution of \( \dfrac{2xy}{x^2-y^2} = \dfrac{dy}{dx} \). If both the curves pass through \( (1,1) \), then the area enclosed by the curves \( C_1 \) and \( C_2 \) is equal to:
