7.1 problem 1591 (6.1)

Internal problem ID [9914]

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]]

\[ \boxed {y^{\prime \prime }-y^{2}=0} \]

Solution by Maple

Time used: 0.469 (sec). Leaf size: 12

dsolve(diff(diff(y(x),x),x)-y(x)^2=0,y(x), singsol=all)
 

\[ y \left (x \right ) = 6 \operatorname {WeierstrassP}\left (x +c_{1} , 0, c_{2}\right ) \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[-y[x]^2 + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved