ODE
\[ y^{(2 n)}(x)=a^{2 n} y(x) \] 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