60.7.74 problem 1665 (book 6.74)

Internal problem ID [11663]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1665 (book 6.74)
Date solved : Monday, January 27, 2025 at 11:29:44 PM
CAS classification : [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

\begin{align*} x y^{\prime \prime }+2 y^{\prime }+a \,x^{v} y^{n}&=0 \end{align*}

✗ Solution by Maple

dsolve(x*diff(diff(y(x),x),x)+2*diff(y(x),x)+a*x^v*y(x)^n=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[a*x^v*y[x]^n + 2*D[y[x],x] + x*D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved