Internal problem ID [9399]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1821 (book 6.230).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {\left (\mathit {f1} y^{\prime }+\mathit {f2} y\right ) y^{\prime \prime }+\mathit {f3} \left (y^{\prime }\right )^{2}+\mathit {f4} \relax (x ) y y^{\prime }+\mathit {f5} \relax (x ) y^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve((f1*diff(y(x),x)+f2*y(x))*diff(diff(y(x),x),x)+f3*diff(y(x),x)^2+f4(x)*y(x)*diff(y(x),x)+f5(x)*y(x)^2=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[f5[x]*y[x]^2 + f4[x]*y[x]*y'[x] + f3[x]*y'[x]^2 + (f2[x]*y[x] + f1[x]*y'[x])*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Timed out