Internal
problem
ID
[10829]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
1,
Additional
non-linear
first
order
Problem
number
:
818
Date
solved
:
Monday, January 27, 2025 at 10:09:36 PM
CAS
classification
:
[_rational, [_1st_order, `_with_symmetry_[F(x)*G(y),0]`]]
✓ Solution by Maple
Time used: 0.026 (sec). Leaf size: 34
dsolve(diff(y(x),x) = y(x)/x/(-1+x*y(x)+x*y(x)^3+x*y(x)^4),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.169 (sec). Leaf size: 34
DSolve[D[y[x],x] == y[x]/(x*(-1 + x*y[x] + x*y[x]^3 + x*y[x]^4)),y[x],x,IncludeSingularSolutions -> True]