7.74 problem 1665 (book 6.74)

Internal problem ID [9243]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 6, non-linear second order
Problem number: 1665 (book 6.74).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

Solve \begin {gather*} \boxed {x y^{\prime \prime }+2 y^{\prime }+a \,x^{v} y^{n}=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

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

Not solved