Internal problem ID [6800]
Book: Collection of Kovacic problems
Section: section 1
Problem number: 68.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {\left (x^{8}+1\right ) y^{\prime \prime }-16 x^{7} y^{\prime }+72 x^{6} y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
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)
\[ y \relax (x ) = c_{1} \left (1-\frac {9 x^{8}}{7}\right )+c_{2} \left (x^{9}-\frac {9}{7} x \right ) \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(1+x^8)*y''[x]-16*x^7*y'[x]+72*x^6*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Timed out