Q$3)$ Consider the following second order Cauchy$-$Euler equation:

$2x^2{y}^{\text{'}\text{'}}-x{y}^{\text{'}}+y=0$

Which of the followings is the solution of the above$-$differential equation?

A$)y=c_1{x}^2+c_{2}lnx$

B$)y=c_1{x}^{\frac{1}{3}}+c_2{x}^2$

E$)y=c_1{x}^1+c_{2}x$

D$)y=c_1{x}^{-2}+c_2{x}^{-1}$

Note: Here, $c_1$ and $c_2$ are arbitrary constants.