About Abel Type Differential Equation
- To: mathgroup at smc.vnet.net
- Subject: [mg42018] About Abel Type Differential Equation
- From: sergio_r at mail.com (Sergio Rojas)
- Date: Mon, 16 Jun 2003 03:58:10 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
I am dealing with an Abel type differential equation that
has the form:
eq= D[y[x],x] == 2*(x-1)*y[x]^3-3*y[x]^2-y[x]/x
Before resorting to numerical methods, I would like to
try if I could obtain some sort of analytical solution
of that equation via Mathematica. The straight forward
application of mathematica's DSolve command, does not
work:
DSolve[eq, y[x], x]
However, searching Mathematica web site I came across with
this page (http://documents.wolfram.com/v4/RefGuide/DSolve_ex.html),
were apparently a more or less general form of Abel type
equation is shown (see lines corresponding to In[7] and Out[7]).
I am wondering if there is a pointer to a site explaining
a bit more the meaning of each one of the terms in that
equation (in line In[7]: f1, f2, f3 and
in line Out[7]: k$139, k$149, and so on).
Sergio