60.7.2 problem 1592 (6.2)

Internal problem ID [11591]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1592 (6.2)
Date solved : Monday, January 27, 2025 at 11:23:48 PM
CAS classification : [[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

\begin{align*} y^{\prime \prime }-6 y^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.031 (sec). Leaf size: 10

dsolve(diff(diff(y(x),x),x)-6*y(x)^2=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.318 (sec). Leaf size: 14

DSolve[-6*y[x]^2 + D[y[x],{x,2}]== 0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \wp (x+c_1;0,c_2) \]