60.7.47 problem 1637 (6.47)

Internal problem ID [11636]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1637 (6.47)
Date solved : Monday, January 27, 2025 at 11:28:44 PM
CAS classification : [[_2nd_order, _missing_x]]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved