76.24.5 problem 5

Internal problem ID [17804]
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 : 5
Date solved : Tuesday, January 28, 2025 at 11:03:15 AM
CAS classification : [[_high_order, _with_linear_symmetries]]

\begin{align*} \left (x -1\right ) y^{\prime \prime \prime \prime }+\left (x +5\right ) y^{\prime \prime }+\tan \left (x \right ) y&=0 \end{align*}

✗ Solution by Maple

dsolve((x-1)*diff(y(x),x$4)+(x+5)*diff(y(x),x$2)+tan(x)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(x-1)*D[y[x],{x,4}]+(x+5)*D[y[x],{x,2}]+Tan[x]*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved