Internal problem ID [7487]
Book: Second order enumerated odes
Section: section 2
Problem number: 46.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _linear, `_with_symmetry_[0,F(x)]`]]
\[ \boxed {y^{\prime \prime } x^{2}-4 y^{\prime } x +6 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x^2*diff(y(x),x$2)-4*x*diff(y(x),x)+6*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{2} x^{3}+x^{2} c_{1} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 16
DSolve[x^2*y''[x]-4*x*y'[x]+6*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 (c_2 x+c_1) \]