61.33.3 problem 241

Internal problem ID [12741]
Book : Handbook of exact solutions for ordinary differential equations. By Polyanin and Zaitsev. Second edition
Section : Chapter 2, Second-Order Differential Equations. section 2.1.2-8. Other equations.
Problem number : 241
Date solved : Tuesday, January 28, 2025 at 04:17:27 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} x^{n} y^{\prime \prime }+c \left (a x +b \right )^{n -4} y&=0 \end{align*}

✗ Solution by Maple

dsolve(x^n*diff(y(x),x$2)+c*(a*x+b)^(n-4)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^n*D[y[x],{x,2}]+c*(a*x+b)^(n-4)*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved