ODE
\[ x^4 y''''(x)+8 x^3 y'''(x)+12 x^2 y''(x)=0 \] ODE Classification
[[_high_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.1699 (sec), leaf count = 27
\[\left \{\left \{y(x)\to \frac {3 c_2 x+c_1}{6 x^2}+c_4 x+c_3\right \}\right \}\]
Maple ✓
cpu = 0.017 (sec), leaf count = 19
\[\left [y \left (x \right ) = \textit {\_C1} +\frac {\textit {\_C2}}{x^{2}}+\frac {\textit {\_C3}}{x}+\textit {\_C4} x\right ]\] Mathematica raw input
DSolve[12*x^2*y''[x] + 8*x^3*y'''[x] + x^4*y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + 3*x*C[2])/(6*x^2) + C[3] + x*C[4]}}
Maple raw input
dsolve(x^4*diff(diff(diff(diff(y(x),x),x),x),x)+8*x^3*diff(diff(diff(y(x),x),x),x)+12*x^2*diff(diff(y(x),x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+_C2/x^2+_C3/x+_C4*x]