Internal problem ID [9170]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1591 (6.1).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(diff(diff(y(x),x),x)-y(x)^2=0,y(x), singsol=all)
\[ y \relax (x ) = 6 \WeierstrassP \left (x +c_{1}, 0, c_{2}\right ) \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 26
DSolve[-y[x]^2 + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \sqrt [3]{6} \wp \left (\frac {x+c_1}{\sqrt [3]{6}};0,c_2\right ) \\ \end{align*}