Internal problem ID [9411]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1833 (book 6.242).
ODE order: 2.
ODE degree: 2.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y \left (y^{\prime \prime }\right )^{2}-a \,{\mathrm e}^{2 x}=0} \end {gather*}
✗ Solution by Maple
dsolve(y(x)*diff(diff(y(x),x),x)^2-a*exp(2*x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-(a*E^(2*x)) + y[x]*y''[x]^2 == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved