60.6.13 problem 1590

Internal problem ID [11589]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 5, linear fifth and higher order
Problem number : 1590
Date solved : Monday, January 27, 2025 at 11:23:46 PM
CAS classification : [[_high_order, _with_linear_symmetries]]

\begin{align*} \left (x -a \right )^{5} \left (x -b \right )^{5} y^{\left (5\right )}-c y&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[(x-a)^5*(x-b)^5*D[y[x],{x,5}]-c*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out