ODE
\[ -2 y'''(x)+y''''(x)+2 y''(x)-2 y'(x)+y(x)=0 \] ODE Classification
[[_high_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.153656 (sec), leaf count = 27
\[\left \{\left \{y(x)\to e^x (c_4 x+c_3)+c_1 \cos (x)+c_2 \sin (x)\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 22
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{x}+\textit {\_C2} \,{\mathrm e}^{x} x +\textit {\_C3} \sin \left (x \right )+\textit {\_C4} \cos \left (x \right )]\] Mathematica raw input
DSolve[y[x] - 2*y'[x] + 2*y''[x] - 2*y'''[x] + y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^x*(C[3] + x*C[4]) + C[1]*Cos[x] + C[2]*Sin[x]}}
Maple raw input
dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-2*diff(diff(diff(y(x),x),x),x)+2*diff(diff(y(x),x),x)-2*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(x)+_C2*exp(x)*x+_C3*sin(x)+_C4*cos(x)]