Case Study-IIIAn equation involving derivatives of the dependent variable with respect to the independent variables is called a differential equation. A differential equation of the form $\frac{dy}{dx} = F(x, y)$ is said to be homogeneous if $F(x, y)$ is a homogeneous function of degree zero, whereas a function $F(x, y)$ is a homogenous function of degree $n$ if $F(\lambda x, \lambda y) = \lambda^{n} F(x, y)$. To solve a homogeneous differential equation of the type $\frac{dy}{dx} = F(x, y) =$ $g\left(\frac{y}{x}\right)$, we make the substitution $y = v x$ and then separate the variables. Based on the above, answer the following questions :(I) Show that $(x^2 - y^2) dx + 2xy dy = 0$ is a differential equation of the type $\frac{dy}{dx} = g\left(\frac{y}{x}\right)$.(II) Solve the above equation to find its general solution.