ODE
\[ x^2 y''(x)-x y'(x)+y(x)=0 \] ODE Classification
[[_Emden, _Fowler]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.160475 (sec), leaf count = 15
\[\{\{y(x)\to x (c_2 \log (x)+c_1)\}\}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 13
\[[y \left (x \right ) = \textit {\_C1} x +\textit {\_C2} x \ln \left (x \right )]\] Mathematica raw input
DSolve[y[x] - x*y'[x] + x^2*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> x*(C[1] + C[2]*Log[x])}}
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x)-x*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*x+_C2*x*ln(x)]