Internal problem ID [9265]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1687 (book 6.96).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {x^{4} y^{\prime \prime }+a^{2} y^{n}=0} \end {gather*}
✗ Solution by Maple
dsolve(x^4*diff(diff(y(x),x),x)+a^2*y(x)^n=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[a^2*y[x]^n + x^4*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved