Internal problem ID [9171]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1592.
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 }-6 y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.014 (sec). Leaf size: 10
dsolve(diff(diff(y(x),x),x)-6*y(x)^2=0,y(x), singsol=all)
\[ y \relax (x ) = \WeierstrassP \left (x +c_{1}, 0, c_{2}\right ) \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 14
DSolve[-6*y[x]^2 + y''[x]== 0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \wp (x+c_1;0,c_2) \\ \end{align*}