60.7.72 problem 1663 (book 6.72)

Internal problem ID [11661]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1663 (book 6.72)
Date solved : Monday, January 27, 2025 at 11:29:41 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} a y^{\prime \prime }+h \left (y^{\prime }\right )+c y&=0 \end{align*}

Solution by Maple

dsolve(a*diff(diff(y(x),x),x)+h(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[h[D[y[x],x]] + c*y[x] + a*D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved