Internal
problem
ID
[10643]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
1,
Additional
non-linear
first
order
Problem
number
:
632
Date
solved
:
Monday, January 27, 2025 at 09:20:12 PM
CAS
classification
:
[[_1st_order, _with_linear_symmetries], [_Abel, `2nd type`, `class C`]]
✓ Solution by Maple
Time used: 0.347 (sec). Leaf size: 52
dsolve(diff(y(x),x) = 1/(y(x)*exp(-x)+1)*exp(x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.159 (sec). Leaf size: 65
DSolve[D[y[x],x] == E^x/(1 + y[x]/E^x),y[x],x,IncludeSingularSolutions -> True]