ODE
\[ x y'(x)+(3-x) y(x)+2=0 \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.176975 (sec), leaf count = 25
\[\left \{\left \{y(x)\to \frac {2 x^2+4 x+c_1 e^x+4}{x^3}\right \}\right \}\]
Maple ✓
cpu = 0.015 (sec), leaf count = 27
\[\left [y \left (x \right ) = \frac {2}{x}+\frac {4}{x^{2}}+\frac {4}{x^{3}}+\frac {{\mathrm e}^{x} \textit {\_C1}}{x^{3}}\right ]\] Mathematica raw input
DSolve[2 + (3 - x)*y[x] + x*y'[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (4 + 4*x + 2*x^2 + E^x*C[1])/x^3}}
Maple raw input
dsolve(x*diff(y(x),x)+2+(3-x)*y(x) = 0, y(x))
Maple raw output
[y(x) = 2/x+4/x^2+4/x^3+exp(x)/x^3*_C1]