$(30$ points$)$ Solve the following DE$,$ using Linear First Order method with initial conditions.

$y^{\text{'}}+2xy=x,y(0)=3$

Possible answers

a$.$

$lny=xlnx$

b$.y=\frac{21-x}{(x^{})+1}$

c$.y=\frac{1}{2}+\frac{5}{2}{e}^{-x^2}$

d$.$ None of the above