ODE
\[ -y'''(x)+y'''''(x)-2 y''(x)+2 y'(x)=0 \] ODE Classification
[[_high_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.408394 (sec), leaf count = 53
\[\left \{\left \{y(x)\to \frac {1}{2} e^{-x} \left (2 e^{2 x} (c_4 (x-1)+c_3)-(c_1+c_2) \cos (x)+(c_2-c_1) \sin (x)\right )+c_5\right \}\right \}\]
Maple ✓
cpu = 0.014 (sec), leaf count = 31
\[[y \left (x \right ) = \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{x}+\textit {\_C3} \,{\mathrm e}^{x} x +\textit {\_C4} \sin \left (x \right ) {\mathrm e}^{-x}+\textit {\_C5} \,{\mathrm e}^{-x} \cos \left (x \right )]\] Mathematica raw input
DSolve[2*y'[x] - 2*y''[x] - y'''[x] + y'''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[5] + (2*E^(2*x)*(C[3] + (-1 + x)*C[4]) - (C[1] + C[2])*Cos[x] + (-C[1] + C[2])*Sin[x])/(2*E^x)}}
Maple raw input
dsolve(diff(diff(diff(diff(diff(y(x),x),x),x),x),x)-diff(diff(diff(y(x),x),x),x)-2*diff(diff(y(x),x),x)+2*diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+_C2*exp(x)+_C3*exp(x)*x+_C4*sin(x)*exp(-x)+_C5*exp(-x)*cos(x)]