Internal problem ID [9213]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1634 (6.44).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime \prime }+f \left (x , y\right ) y^{\prime }+g \left (x , y\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+f(x,y(x))*diff(y(x),x)+g(x,y(x))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[g[x, y[x]] + f[x, y[x]]*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved