ODE
\[ \frac {\partial ^{2 n}y(x)}{\partial x^{2 n}}=a^{2 n} y(x) \] ODE Classification
odeadvisor timed out
Book solution method
TO DO
Mathematica ✓
cpu = 0.168869 (sec), leaf count = 22
\[\text {Solve}\left [\left \{\frac {\partial ^{2 n}y(x)}{\partial x^{2 n}}=a^{2 n} y(x)\right \},\{y(x)\}\right ]\]
Maple ✗
cpu = 0. (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[D[y[x], {x, 2*n}] == a^(2*n)*y[x],y[x],x]
Mathematica raw output
Solve[{D[y[x], {x, 2*n}] == a^(2*n)*y[x]}, {y[x]}]
Maple raw input
dsolve(diff(y(x),[x $ 2*n]) = a^(2*n)*y(x), y(x))
Maple raw output
\verbunable to handle ODEs of undefined differential order||