Internal
problem
ID
[10760]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
1,
Additional
non-linear
first
order
Problem
number
:
749
Date
solved
:
Tuesday, January 28, 2025 at 05:11:44 PM
CAS
classification
:
[_rational]
✓ Solution by Maple
Time used: 0.014 (sec). Leaf size: 186
dsolve(diff(y(x),x) = (x-y(x))^2*(x+y(x))^2*x/y(x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.161 (sec). Leaf size: 155
DSolve[D[y[x],x] == (x*(x - y[x])^2*(x + y[x])^2)/y[x],y[x],x,IncludeSingularSolutions -> True]