Internal
problem
ID
[12157]
Book
:
Handbook
of
exact
solutions
for
ordinary
differential
equations.
By
Polyanin
and
Zaitsev.
Second
edition
Section
:
Chapter
1,
section
1.2.
Riccati
Equation.
subsection
1.2.5-1.
Equations
Containing
Logarithmic
Functions
Problem
number
:
6
Date
solved
:
Tuesday, January 28, 2025 at 12:45:37 AM
CAS
classification
:
[_Riccati]
✗ Solution by Maple
dsolve(x*diff(y(x),x)=a*x^n*y(x)^2+b-a*b^2*x^n*(ln(x))^2,y(x), singsol=all)
✗ Solution by Mathematica
Time used: 0.000 (sec). Leaf size: 0
DSolve[x*D[y[x],x]==a*x^n*y[x]^2+b-a*b^2*x^n*(Log[x])^2,y[x],x,IncludeSingularSolutions -> True]
Not solved