Internal problem ID [9476]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1146.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {x^{2} y^{\prime \prime }-6 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x^2*diff(diff(y(x),x),x)-6*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} x^{5}+c_{2}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 18
DSolve[-6*y[x] + x^2*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_2 x^5+c_1}{x^2} \]