ODE
\[ 2 x y''(x)+y'(x)=0 \] ODE Classification
[[_2nd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.165901 (sec), leaf count = 17
\[\left \{\left \{y(x)\to 2 c_1 \sqrt {x}+c_2\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 11
\[\left [y \left (x \right ) = \textit {\_C1} +\sqrt {x}\, \textit {\_C2}\right ]\] Mathematica raw input
DSolve[y'[x] + 2*x*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> 2*Sqrt[x]*C[1] + C[2]}}
Maple raw input
dsolve(2*x*diff(diff(y(x),x),x)+diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+x^(1/2)*_C2]