ODE
\[ 2 y'''(x)+y'''''(x)+y'(x)=0 \] ODE Classification
[[_high_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.175251 (sec), leaf count = 35
\[\{\{y(x)\to (-c_4 x+c_2-c_3) \cos (x)+(c_2 x+c_1+c_4) \sin (x)+c_5\}\}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 24
\[[y \left (x \right ) = \textit {\_C1} +\textit {\_C2} \sin \left (x \right )+\textit {\_C3} \cos \left (x \right )+\textit {\_C4} \sin \left (x \right ) x +\textit {\_C5} \cos \left (x \right ) x]\] Mathematica raw input
DSolve[y'[x] + 2*y'''[x] + y'''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[5] + (C[2] - C[3] - x*C[4])*Cos[x] + (C[1] + x*C[2] + C[4])*Sin[x]}}
Maple raw input
dsolve(diff(diff(diff(diff(diff(y(x),x),x),x),x),x)+2*diff(diff(diff(y(x),x),x),x)+diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+_C2*sin(x)+_C3*cos(x)+_C4*sin(x)*x+_C5*cos(x)*x]