Internal problem ID [9259]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1681 (book 6.90).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {4 y^{\prime \prime } x^{2}-x^{4} \left (y^{\prime }\right )^{2}+4 y=0} \end {gather*}
✗ Solution by Maple
dsolve(4*x^2*diff(diff(y(x),x),x)-x^4*diff(y(x),x)^2+4*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[4*y[x] - x^4*y'[x]^2 + 4*x^2*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved