52.1.28 problem 25 expansion at 1

Internal problem ID [8245]
Book : DIFFERENTIAL EQUATIONS with Boundary Value Problems. DENNIS G. ZILL, WARREN S. WRIGHT, MICHAEL R. CULLEN. Brooks/Cole. Boston, MA. 2013. 8th edition.
Section : CHAPTER 6 SERIES SOLUTIONS OF LINEAR EQUATIONS. Section 6.2 SOLUTIONS ABOUT ORDINARY POINTS. EXERCISES 6.2. Page 246
Problem number : 25 expansion at 1
Date solved : Monday, January 27, 2025 at 03:46:49 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

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

Using series method with expansion around

\begin{align*} 1 \end{align*}

✓ Solution by Maple

Time used: 0.027 (sec). Leaf size: 497

Order:=8; 
dsolve(cos(x)*diff(y(x),x$2)+diff(y(x),x)+5*y(x)=0,y(x),type='series',x=1);
 

\[ \text {Expression too large to display} \]

✓ Solution by Mathematica

Time used: 0.008 (sec). Leaf size: 1808

AsymptoticDSolveValue[Cos[x]*D[y[x],{x,2}]+D[y[x],x]+5*y[x]==0,y[x],{x,1,"8"-1}]
 

Too large to display