ODE
\[ x y''(x)+2 y'(x)=0 \] ODE Classification
[[_2nd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.166004 (sec), leaf count = 15
\[\left \{\left \{y(x)\to c_2-\frac {c_1}{x}\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 11
\[\left [y \left (x \right ) = \textit {\_C1} +\frac {\textit {\_C2}}{x}\right ]\] Mathematica raw input
DSolve[2*y'[x] + x*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> -(C[1]/x) + C[2]}}
Maple raw input
dsolve(x*diff(diff(y(x),x),x)+2*diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+_C2/x]