ODE
\[ 4 x^2 y'''(x)+8 x y''(x)+y'(x)=0 \] ODE Classification
[[_3rd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.161434 (sec), leaf count = 28
\[\left \{\left \{y(x)\to \sqrt {x} (c_2 \log (x)+2 c_1-2 c_2)+c_3\right \}\right \}\]
Maple ✓
cpu = 0.016 (sec), leaf count = 18
\[\left [y \left (x \right ) = \textit {\_C1} +\sqrt {x}\, \textit {\_C2} +\textit {\_C3} \sqrt {x}\, \ln \left (x \right )\right ]\] Mathematica raw input
DSolve[y'[x] + 8*x*y''[x] + 4*x^2*y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[3] + Sqrt[x]*(2*C[1] - 2*C[2] + C[2]*Log[x])}}
Maple raw input
dsolve(4*x^2*diff(diff(diff(y(x),x),x),x)+8*x*diff(diff(y(x),x),x)+diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+x^(1/2)*_C2+_C3*x^(1/2)*ln(x)]