ODE
\[ x^n \frac {\partial ^{2 n}y(x)}{\partial x^{2 n}}=y(x) \] ODE Classification
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Mathematica ✓
cpu = 0.166099 (sec), leaf count = 20
\[\text {Solve}\left [\left \{x^n \frac {\partial ^{2 n}y(x)}{\partial x^{2 n}}=y(x)\right \},\{y(x)\}\right ]\]
Maple ✗
cpu = 0. (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[x^n*D[y[x], {x, 2*n}] == y[x],y[x],x]
Mathematica raw output
Solve[{x^n*D[y[x], {x, 2*n}] == y[x]}, {y[x]}]
Maple raw input
dsolve(diff(y(x),[x $ 2*n])*x^n = y(x), y(x))
Maple raw output
\verbunable to handle ODEs of undefined differential order||