Solve this Differential Equation. I am not sure the form, when I attempted to solve it I tried to solve it as Homogenous. But couldn't get it into a good form. This is a past quiz problem, not homework. If someone could tell me how to do this it would be awesome.
$$\frac{y}{x}\ln\frac{x}{y}dx=(\ln \frac{x}{y}-5\frac{y}{x})dy$$ we know that $\ln\frac{a}{b}=-\ln\frac{b}{a}$, so the D.E will be $$-\frac{y}{x}\ln\frac{y}{x}dx=(-\ln \frac{y}{x}-5\frac{y}{x})dy$$
then let$$u=\frac{y}{x}$$