59.1.486 problem 502

Internal problem ID [9658]
Book : Collection of Kovacic problems
Section : section 1
Problem number : 502
Date solved : Tuesday, January 28, 2025 at 04:07:53 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} \left (x^{8}+1\right ) y^{\prime \prime }-16 x^{7} y^{\prime }+72 x^{6} y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 22

dsolve((1+x^8)*diff(y(x),x$2)-16*x^7*diff(y(x),x)+72*x^6*y(x)=0,y(x), singsol=all)
 

\[ y = -\frac {7}{9} c_{1} +c_{1} x^{8}+c_{2} x^{9}-\frac {9}{7} c_{2} x \]

✗ Solution by Mathematica

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

DSolve[(1+x^8)*D[y[x],{x,2}]-16*x^7*D[y[x],x]+72*x^6*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out