Internal
problem
ID
[12060]
Book
:
Handbook
of
exact
solutions
for
ordinary
differential
equations.
By
Polyanin
and
Zaitsev.
Second
edition
Section
:
Chapter
1,
section
1.2.
Riccati
Equation.
1.2.2.
Equations
Containing
Power
Functions
Problem
number
:
54
Date
solved
:
Tuesday, January 28, 2025 at 06:41:25 PM
CAS
classification
:
[_rational, _Riccati]
✓ Solution by Maple
Time used: 0.024 (sec). Leaf size: 215200
dsolve(x^2*diff(y(x),x)=(alpha*x^(2*n)+beta*x^n+gamma)*y(x)^2+(a*x^n+b)*x*y(x)+c*x^2,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 2.654 (sec). Leaf size: 2649
DSolve[x^2*D[y[x],x]==(\[Alpha]*x^(2*n)+\[Beta]*x^n+\[Gamma])*y[x]^2+(a*x^n+b)*x*y[x]+c*x^2,y[x],x,IncludeSingularSolutions -> True]
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