59.1.484 problem 500

Internal problem ID [9656]
Book : Collection of Kovacic problems
Section : section 1
Problem number : 500
Date solved : Monday, January 27, 2025 at 06:05:06 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} \left (2 x^{5}+1\right ) y^{\prime \prime }+14 x^{4} y^{\prime }+10 x^{3} y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.100 (sec). Leaf size: 30

dsolve((1+2*x^5)*diff(y(x),x$2)+14*x^4*diff(y(x),x)+10*x^3*y(x)=0,y(x), singsol=all)
 

\[ y = \frac {c_{1} x}{\left (2 x^{5}+1\right )^{{2}/{5}}}+c_{2} \operatorname {hypergeom}\left (\left [\frac {1}{5}, 1\right ], \left [\frac {4}{5}\right ], -2 x^{5}\right ) \]

✗ Solution by Mathematica

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

DSolve[(1+2*x^5)*D[y[x],{x,2}]+14*x^4*D[y[x],x]+10*x^3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out