ODE
\[ -4 y'''(x)+y''''(x)+6 y''(x)-4 y'(x)+y(x)=0 \] ODE Classification
[[_high_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.150469 (sec), leaf count = 26
\[\left \{\left \{y(x)\to e^x (x (x (c_4 x+c_3)+c_2)+c_1)\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 28
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{x}+\textit {\_C2} \,{\mathrm e}^{x} x +\textit {\_C3} \,{\mathrm e}^{x} x^{2}+\textit {\_C4} \,{\mathrm e}^{x} x^{3}]\] Mathematica raw input
DSolve[y[x] - 4*y'[x] + 6*y''[x] - 4*y'''[x] + y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^x*(C[1] + x*(C[2] + x*(C[3] + x*C[4])))}}
Maple raw input
dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-4*diff(diff(diff(y(x),x),x),x)+6*diff(diff(y(x),x),x)-4*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(x)+_C2*exp(x)*x+_C3*exp(x)*x^2+_C4*exp(x)*x^3]