60.7.59 problem 1649 (book 6.59)

Internal problem ID [11648]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1649 (book 6.59)
Date solved : Monday, January 27, 2025 at 11:29:04 PM
CAS classification : [NONE]

\begin{align*} y^{\prime \prime }+\left (y^{\prime }-\frac {y}{x}\right )^{a} f \left (x , y\right )&=0 \end{align*}

✗ 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)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[f[x, y[x]]*(-(y[x]/x) + D[y[x],x])^a + D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved