Solve $\frac{dy}{dx}=\frac{xy}{x},$ given that $y(e)=2.$

Select one:

a$.y=\frac{2x}{e}$

b$.ln|x|=ln|\frac{xy}{x}|1-ln(\frac{e2}{3})$

c$.y=x(ln|x|\frac{2}{e}-1)$

d$.y=x(ln|x|\frac{2}{2}-ln2)$