7.72 problem 1663 (book 6.72)

Internal problem ID [9241]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1663 (book 6.72).
ODE order: 2.
ODE degree: -1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

Solve \begin {gather*} \boxed {a y^{\prime \prime }+h \left (y^{\prime }\right )+c y=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

DSolve[h[y'[x]] + c*y[x] + a*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved