76.23.7 problem 8

Internal problem ID [17798]
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 6.1 (Definitions and examples). Problems at page 388
Problem number : 8
Date solved : Tuesday, January 28, 2025 at 11:03:12 AM
CAS classification : [[_high_order, _with_linear_symmetries]]

\begin{align*} \left (x -4\right ) y^{\prime \prime \prime \prime }+\left (1+x \right ) y^{\prime \prime }+\tan \left (x \right ) y&=0 \end{align*}

✗ Solution by Maple

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

Not solved