Internal problem ID [9180]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1601 (6.11).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+a \,x^{r} y^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+a*x^r*y(x)^2=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[a*x^r*y[x]^2 + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved