Internal problem ID [9160]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 5, linear fifth and higher order
Problem number: 1581.
ODE order: 5.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _linear, _nonhomogeneous]]
Solve \begin {gather*} \boxed {y^{\relax (5)}-y a x -b=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'''''[x]-a*x*y[x]-b==0,y[x],x,IncludeSingularSolutions -> True]
Not solved