Re: Nonlinear ODE
From: Robert Israel (israel_at_math.ubc.ca)
Date: 08/31/04
- Next message: Mikito Harakiri: "Re: ordered pair"
- Previous message: papu: "Re: Sum of exp(-n^2) , n=0..N , N a positive integer."
- Messages sorted by: [ date ] [ thread ]
Date: 31 Aug 2004 18:00:36 GMT
In article <c66fba8c.0408292132.16b13fe2@posting.google.com>,
Mark <muilak@hotmail.com> wrote:
>could someone please give me a hint on what is known of the solutions
>to the following two nonlinear ODEs?
>sin(y)cos(y) = -(y')^2 * sin(y) + y'' * cos(y)
Maple finds an implicit solution involving an integration:
(+/-) Int(3*cos(y)/(-6*cos(y)^3+9*_C1)^(1/2), y)-x-_C2 = 0
>sin(y)^2 = (y')^2 * cos(y) + y'' * sin(y)
(+/-) Int(3*sin(y)/(6*cos(y)^3-18*cos(y)+9*_C1)^(1/2),y)-x-_C2 = 0
Robert Israel israel@math.ubc.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia
Vancouver, BC, Canada V6T 1Z2
- Next message: Mikito Harakiri: "Re: ordered pair"
- Previous message: papu: "Re: Sum of exp(-n^2) , n=0..N , N a positive integer."
- Messages sorted by: [ date ] [ thread ]
Relevant Pages
|
