Consider the differential equation $\frac{dy}{dx}=\frac{y}{x}(lny-lnx1).$

i$.)$ Which of these is the general solution of this equation?

$y=e^{Cx}$

$y=x{e}^{Cx}$

$y=Cx{e}^x$

$y=\frac{e^x}{x}\frac{C}{x}$

$y=\frac{e^{CD}}{x}$

ii$.)$ What choice of the arbitrary constant in the general solution ensures that the solution curve passes through the point

$(\frac{1}{5},3)?$

$3ln3$

$3ln5$

$3ln15$

$5ln3$

$5ln5$

$5ln15$