76.24.6 problem 6

Internal problem ID [17805]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 6. Systems of First Order Linear Equations. Section 6.2 (Basic Theory of First Order Linear Systems). Problems at page 398
Problem number : 6
Date solved : Tuesday, January 28, 2025 at 11:03:15 AM
CAS classification : [[_high_order, _with_linear_symmetries]]

\begin{align*} \left (x^{2}-25\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+5 y&=0 \end{align*}

✗ Solution by Maple

dsolve((x^2-25)*diff(y(x),x$6)+x^2*diff(y(x),x$2)+5*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(x^2-25)*D[y[x],{x,6}]+x^2*D[y[x],{x,2}]+5*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out