Internal
problem
ID
[12805]
Book
:
An
elementary
treatise
on
differential
equations
by
Abraham
Cohen.
DC
heath
publishers.
1906
Section
:
Chapter
2,
differential
equations
of
the
first
order
and
the
first
degree.
Article
9.
Variables
searated
or
separable.
Page
13
Problem
number
:
Ex
3
Date
solved
:
Tuesday, January 28, 2025 at 04:21:42 AM
CAS
classification
:
[_separable]
✓ Solution by Maple
Time used: 0.220 (sec). Leaf size: 61
dsolve(2*(1-y(x)^2)*x*y(x)+(1+x^2)*(1+y(x)^2)*diff(y(x),x)=0,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.482 (sec). Leaf size: 62
DSolve[2*(1-y[x]^2)*x*y[x]+(1+x^2)*(1+y[x]^2)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]