Solve the given differential equation by Cauchy$-$Euler method.

$x^3{y}^{\text{'}\text{'}\text{'}}+x{y}^{\text{'}}-y=0$

a$)y_{\text{g}\text{e}\text{n}}=c_{1}x+c_{3}xlnx+c_{2}x(lnx{)}^2$

b$)y_{\text{g}\text{e}\text{n}}=c_1+c_{2}x+c_{3}x$

c$)y_{\text{g}\text{e}\text{n}}=c_1+c_2+c_{3}xlnx$

d$)y_{g\text{g}\text{e}\text{n}}=c_{1}x+c_{2}x+c_3{x}^{2}lnx$

e$)y_{g\text{g}\text{e}\text{n}}=c_{1}x+c_2{x}^2+c_3{x}^{3}lnx$