What is $c_2(x)$ if the general solution of the $y^{\text{'}\text{'}}-6y^{\text{'}}+9y=\frac{e^{3x}}{x^2}$ differential equation is $y=[c_1(x)+c_2(x)x]e^{3x}?$

A$)c_2=x{e}^{3x}+K_2$

B$)c_2=e^{3x}+K_2$

C$)c_2=\frac{1}{x^2}+K_2$

D$)c_2=-\frac{1}{x}+K_2$

E$)c_2=lnx+K_2$