4.2275   y′′′′′′′′(x)− 2y′′′′ + y(x) = 0

ODE

y′′′′′′′′(x)− 2y′′′′ + 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.