ODE
\[ 2 x^2 y'(x)=y(x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.158508 (sec), leaf count = 17
\[\left \{\left \{y(x)\to c_1 e^{\left .-\frac {1}{2}\right /x}\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 12
\[\left [y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{-\frac {1}{2 x}}\right ]\] Mathematica raw input
DSolve[2*x^2*y'[x] == y[x],y[x],x]
Mathematica raw output
{{y[x] -> C[1]/E^(1/(2*x))}}
Maple raw input
dsolve(2*x^2*diff(y(x),x) = y(x), y(x))
Maple raw output
[y(x) = _C1*exp(-1/2/x)]