60.7.5 problem 1595 (6.5)

Internal problem ID [11594]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1595 (6.5)
Date solved : Monday, January 27, 2025 at 11:23:55 PM
CAS classification : [NONE]

\begin{align*} y^{\prime \prime }+a y^{2}+b x +c&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)+a*y(x)^2+b*x+c=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved