ODE
\[ x^{n+\frac {1}{2}} \frac {\partial ^{2 n+1}y(x)}{\partial x^{2 n+1}}=y(x) \] ODE Classification
odeadvisor timed out
Book solution method
TO DO
Mathematica ✓
cpu = 0.170358 (sec), leaf count = 26
\[\text {Solve}\left [\left \{x^{n+\frac {1}{2}} \frac {\partial ^{2 n+1}y(x)}{\partial x^{2 n+1}}=y(x)\right \},\{y(x)\}\right ]\]
Maple ✗
cpu = 0. (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[x^(1/2 + n)*D[y[x], {x, 1 + 2*n}] == y[x],y[x],x]
Mathematica raw output
Solve[{x^(1/2 + n)*D[y[x], {x, 1 + 2*n}] == y[x]}, {y[x]}]
Maple raw input
dsolve(diff(y(x),[x $ 1+2*n])*x^(n+1/2) = y(x), y(x))
Maple raw output
\verbunable to handle ODEs of undefined differential order||