Internal
problem
ID
[5559]
Book
:
Ordinary
differential
equations
and
their
solutions.
By
George
Moseley
Murphy.
1960
Section
:
Various
33
Problem
number
:
982
Date
solved
:
Monday, January 27, 2025 at 11:48:23 AM
CAS
classification
:
[_quadrature]
✓ Solution by Maple
Time used: 0.061 (sec). Leaf size: 115
dsolve((a^2-y(x)^2)*diff(y(x),x)^2 = y(x)^2,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.336 (sec). Leaf size: 102
DSolve[(a^2-y[x]^2) (D[y[x],x])^2==y[x]^2,y[x],x,IncludeSingularSolutions -> True]