Internal problem ID [9228]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1649 (book 6.59).
ODE order: 2.
ODE degree: -1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime \prime }+\left (y^{\prime }-\frac {y}{x}\right )^{a} f \left (x , y\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+(diff(y(x),x)-y(x)/x)^a*f(x,y(x))=0,y(x), singsol=all)
DO NEXT ✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[f[x, y[x]]*(-(y[x]/x) + y'[x])^a + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved