60.6.4 problem 1581

Internal problem ID [11580]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 5, linear fifth and higher order
Problem number : 1581
Date solved : Monday, January 27, 2025 at 11:23:42 PM
CAS classification : [[_high_order, _linear, _nonhomogeneous]]

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

✗ Solution by Maple

dsolve(diff(y(x),x$5)-a*x*y(x)-b=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved