60.7.54 problem 1644 (6.54)

Internal problem ID [11643]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1644 (6.54)
Date solved : Monday, January 27, 2025 at 11:28:57 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+f \left (y\right ) {y^{\prime }}^{2}+g \left (y\right ) y^{\prime }+h \left (y\right )&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)+f(y(x))*diff(y(x),x)^2+g(y(x))*diff(y(x),x)+h(y(x))=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved