ODE
\[ x^2 y''(x)+4 x y'(x)+2 y(x)=0 \] ODE Classification
[[_2nd_order, _exact, _linear, _homogeneous]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.162514 (sec), leaf count = 16
\[\left \{\left \{y(x)\to \frac {c_2 x+c_1}{x^2}\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 15
\[\left [y \left (x \right ) = \frac {\textit {\_C1}}{x^{2}}+\frac {\textit {\_C2}}{x}\right ]\] Mathematica raw input
DSolve[2*y[x] + 4*x*y'[x] + x^2*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + x*C[2])/x^2}}
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x)+4*x*diff(y(x),x)+2*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1/x^2+_C2/x]