ODE
\[ x^3 y''(x)+3 x^2 y'(x)+x y(x)=0 \] ODE Classification
[[_Emden, _Fowler], [_2nd_order, _linear, `_with_symmetry_[0,F(x)]`]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.164528 (sec), leaf count = 17
\[\left \{\left \{y(x)\to \frac {c_2 \log (x)+c_1}{x}\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 17
\[\left [y \left (x \right ) = \frac {\textit {\_C1}}{x}+\frac {\textit {\_C2} \ln \left (x \right )}{x}\right ]\] Mathematica raw input
DSolve[x*y[x] + 3*x^2*y'[x] + x^3*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + C[2]*Log[x])/x}}
Maple raw input
dsolve(x^3*diff(diff(y(x),x),x)+3*x^2*diff(y(x),x)+x*y(x) = 0, y(x))
Maple raw output
[y(x) = 1/x*_C1+_C2/x*ln(x)]