ODE
\[ y''''''''(x)-2 y''''+y(x)=0 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 0.00751775 (sec), leaf count = 0 , could not solve
DSolve[y[x] - 2*Derivative[4][y] + Derivative[8][y][x] == 0, y[x], x]
Maple ✗
cpu = 0.034 (sec), leaf count = 0 , exception
y(x) and y cannot both appear in the given ODE.
Mathematica raw input
DSolve[y[x] - 2*y'''' + y''''''''[x] == 0,y[x],x]
Mathematica raw output
DSolve[y[x] - 2*Derivative[4][y] + Derivative[8][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(diff(diff(diff(diff(diff(diff(y(x),x),x),x),x),x),x),x),x)-2*D[1,1,1,1](y)*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) and y cannot both appear in the given ODE.