Internal problem ID [9913]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 5, linear fifth and higher order
Problem number: 1590.
ODE order: 5.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _with_linear_symmetries]]
\[ \boxed {\left (x -a \right )^{5} \left (x -b \right )^{5} y^{\left (5\right )}-y c=0} \]
✗ Solution by Maple
dsolve((x-a)^5*(x-b)^5*diff(y(x),x$5)-c*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(x-a)^5*(x-b)^5*y'''''[x]-c*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Timed out