ODE
\[ x y''(x)+y'(x)=0 \] ODE Classification
[[_2nd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.159519 (sec), leaf count = 13
\[\{\{y(x)\to c_1 \log (x)+c_2\}\}\]
Maple ✓
cpu = 0.011 (sec), leaf count = 10
\[[y \left (x \right ) = \textit {\_C2} \ln \left (x \right )+\textit {\_C1}]\] Mathematica raw input
DSolve[y'[x] + x*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[2] + C[1]*Log[x]}}
Maple raw input
dsolve(x*diff(diff(y(x),x),x)+diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C2*ln(x)+_C1]