ODE
\[ x^n y^{(2 n)}(x)=y(x) \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 0.00486123 (sec), leaf count = 0 , could not solve
DSolve[x^n*Derivative[2*n][y][x] == 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[x^n*Derivative[2*n][y][x] == y[x],y[x],x]
Mathematica raw output
DSolve[x^n*Derivative[2*n][y][x] == y[x], y[x], x]
Maple raw input
dsolve(diff(y(x),[`$`(x,2*n)])*x^n = y(x), y(x),'implicit')
Maple raw output
unable to handle ODEs of undefined differential order