60.6.9 problem 1586

Internal problem ID [11585]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 5, linear fifth and higher order
Problem number : 1586
Date solved : Monday, January 27, 2025 at 11:23:44 PM
CAS classification : [[_high_order, _missing_y]]

\begin{align*} x y^{\left (5\right )}-\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{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[x*D[y[x],{x,5}]-((a*A1-A0)*x+A1)-((a*A2-A1)*x+A2)*D[y[x],x]== 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved