4.67 problem 64

Internal problem ID [7936]
Book : Own collection of miscellaneous problems
Section : section 4.0
Problem number : 64
Date solved : Monday, October 21, 2024 at 04:35:20 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

Solve

\begin{align*} \frac {x y^{\prime \prime }}{-x^{2}+1}+y&=0 \end{align*}

4.67.1 Maple step by step solution

4.67.2 Maple trace

Methods for second order ODEs:
 

4.67.3 Maple dsolve solution

Solving time : 0.035 (sec)
Leaf size : maple_leaf_size

dsolve(x/(-x^2+1)*diff(diff(y(x),x),x)+y(x) = 0, 
       y(x),singsol=all)
 

\[ \text {No solution found} \]

4.67.4 Mathematica DSolve solution

Solving time : 0.0 (sec)
Leaf size : 0

DSolve[{x/(1-x^2)*D[y[x],{x,2}]+y[x]==0,{}}, 
       y[x],x,IncludeSingularSolutions->True]
 

Not solved