4.46.26 y(2n)(x)=a2ny(x)

ODE
y(2n)(x)=a2ny(x) ODE Classification

(ODEtools/info) missing specification of intermediate function

Book solution method
TO DO

Mathematica
cpu = 0.00857435 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2*n][y][x] == a^(2*n)*y[x], y[x], x]

Maple
cpu = 0.034 (sec), leaf count = 0 , exception

unable to handle ODEs of undefined differential order

Mathematica raw input

DSolve[Derivative[2*n][y][x] == a^(2*n)*y[x],y[x],x]

Mathematica raw output

DSolve[Derivative[2*n][y][x] == a^(2*n)*y[x], y[x], x]

Maple raw input

dsolve(diff(y(x),[`$`(x,2*n)]) = a^(2*n)*y(x), y(x),'implicit')

Maple raw output

unable to handle ODEs of undefined differential order