4.28.12 \(x y''(x)+2 y'(x)=0\)

ODE
\[ x y''(x)+2 y'(x)=0 \] ODE Classification

[[_2nd_order, _missing_y]]

Book solution method
TO DO

Mathematica
cpu = 0.0114309 (sec), leaf count = 15

\[\left \{\left \{y(x)\to c_2-\frac {c_1}{x}\right \}\right \}\]

Maple
cpu = 0.009 (sec), leaf count = 11

\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}}{x}} \right \} \] 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),'implicit')

Maple raw output

y(x) = _C1+_C2/x