Internal
problem
ID
[11009]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
1,
Additional
non-linear
first
order
Problem
number
:
999
Date
solved
:
Monday, January 27, 2025 at 10:41:18 PM
CAS
classification
:
[[_1st_order, _with_linear_symmetries], _Riccati]
✓ Solution by Maple
Time used: 0.008 (sec). Leaf size: 36
dsolve(diff(y(x),x) = ((y(x)-x+ln(x+1))^2+x)/(x+1),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.337 (sec). Leaf size: 36
DSolve[D[y[x],x] == (x + (-x + Log[1 + x] + y[x])^2)/(1 + x),y[x],x,IncludeSingularSolutions -> True]