Internal problem ID [9380]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1802 (book 6.211).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {2 y^{3} y^{\prime \prime }+y^{4}-a^{2} x y^{2}-1=0} \end {gather*}
✗ Solution by Maple
dsolve(2*y(x)^3*diff(diff(y(x),x),x)+y(x)^4-a^2*x*y(x)^2-1=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-1 - a^2*x*y[x]^2 + y[x]^4 + 2*y[x]^3*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved