Internal problem ID [9165]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 5, linear fifth and higher order
Problem number: 1586.
ODE order: 5.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_y]]
Solve \begin {gather*} \boxed {x y^{\relax (5)}-\left (a A_{1} -A_{0} \right ) x -A_{1} -\left (\left (a A_{2} -A_{1} \right ) x +A_{2} \right ) y^{\prime }=0} \end {gather*}
✗ Solution by Maple
dsolve(x*diff(y(x),x$5)-((a*A__1-A__0)*x+A__1)-((a*A__2-A__1)*x+A__2)*diff(y(x),x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*y'''''[x]-((a*A1-A0)*x+A1)-((a*A2-A1)*x+A2)*y'[x]== 0,y[x],x,IncludeSingularSolutions -> True]
Not solved