Internal
problem
ID
[12271]
Book
:
Handbook
of
exact
solutions
for
ordinary
differential
equations.
By
Polyanin
and
Zaitsev.
Second
edition
Section
:
Chapter
1,
section
1.2.
Riccati
Equation.
subsection
1.2.8-1.
Equations
containing
arbitrary
functions
(but
not
containing
their
derivatives).
Problem
number
:
2
Date
solved
:
Tuesday, January 28, 2025 at 02:02:41 AM
CAS
classification
:
[_Riccati]
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 65
dsolve(diff(y(x),x)=f(x)*y(x)^2-a*y(x)-a*b-b^2*f(x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.459 (sec). Leaf size: 185
DSolve[D[y[x],x]==f[x]*y[x]^2-a*y[x]-a*b-b^2*f[x],y[x],x,IncludeSingularSolutions -> True]