Internal
problem
ID
[10647]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
1,
Additional
non-linear
first
order
Problem
number
:
636
Date
solved
:
Monday, January 27, 2025 at 09:21:01 PM
CAS
classification
:
[[_1st_order, `_with_symmetry_[F(x),G(x)*y+H(x)]`]]
✓ Solution by Maple
Time used: 0.115 (sec). Leaf size: 19
dsolve(diff(y(x),x) = (-ln(y(x))+x^2)*y(x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.320 (sec). Leaf size: 24
DSolve[D[y[x],x] == (x^2 - Log[y[x]])*y[x],y[x],x,IncludeSingularSolutions -> True]