Internal problem ID [7220]
Book: Collection of Kovacic problems
Section: section 1
Problem number: 500.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {\left (2 x^{5}+1\right ) y^{\prime \prime }+14 y^{\prime } x^{4}+10 y x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.266 (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)
\[ y \relax (x ) = \frac {c_{1} x}{\left (2 x^{5}+1\right )^{\frac {2}{5}}}+c_{2} \hypergeom \left (\left [\frac {1}{5}, 1\right ], \left [\frac {4}{5}\right ], -2 x^{5}\right ) \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(1+2*x^5)*y''[x]+14*x^4*y'[x]+10*x^3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Timed out