2.4.1.6 Mathematica. Time used: 0.07 (sec). Leaf size: 24
ode=D[y[x],x]+x*y[x]==x; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 
\begin{align*} y(x)&\to 1+c_1 e^{-\frac {x^2}{2}}\\ y(x)&\to 1 \end{align*}