60.7.27 problem 1617 (6.27)

Internal problem ID [11616]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1617 (6.27)
Date solved : Monday, January 27, 2025 at 11:27:11 PM
CAS classification : [NONE]

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

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)+b*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[b*x^v*y[x]^n + a*D[y[x],x] + D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved