Internal problem ID [7976]
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]]
\[ \boxed {\left (2 x^{5}+1\right ) y^{\prime \prime }+14 y^{\prime } x^{4}+10 y x^{3}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 44
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)
\[ y \left (x \right ) = \frac {c_{1} x}{\left (2 x^{5}+1\right )^{\frac {2}{5}}}+\frac {c_{2} x \left (\int \frac {1}{\left (2 x^{5}+1\right )^{\frac {3}{5}} x^{2}}d x \right )}{\left (2 x^{5}+1\right )^{\frac {2}{5}}} \]
✗ 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