ODE
\[ x y'(x)+y(x)+x=0 \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.00348525 (sec), leaf count = 17
\[\left \{\left \{y(x)\to \frac {c_1}{x}-\frac {x}{2}\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 13
\[ \left \{ y \left ( x \right ) =-{\frac {x}{2}}+{\frac {{\it \_C1}}{x}} \right \} \] Mathematica raw input
DSolve[x + y[x] + x*y'[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> -x/2 + C[1]/x}}
Maple raw input
dsolve(x*diff(y(x),x)+x+y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = -1/2*x+1/x*_C1