 |
|
List Archives >
Maple User Group List Archive >
Archive by date >
This Month By Date >
This Month By Topic
[MUG] Re: Solving ODE using method of undermined coefficients
| [MUG] Re: Solving ODE using method of undermined coefficients |
|
Author: Maple Group
Posted: 15/12/2000 19:52:11 GMT
|
>> From: Maple Group
| >> From: Chuck Baker
| I've been trying to solve the following via method of
| undetermined coefficients:
|
| y'' + 5y' + 6y = 3e^(-2x) + e^(3x)
|
-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-
Date: Mon, 11 Dec 2000 11:07:49 -0800 (PST)
From: Robert Israel
To:
Subject: Solving ODE using method of undermined coefficients
dsolve is right. You're using a wrong trial solution. Try
yp(x) = A*x*exp(-2*x)+B*exp(3*x).
Robert Israel
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia
Vancouver, BC, Canada V6T 1Z2
-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-
Date: Tue, 12 Dec 2000 09:03:02 +0100
From: Heike Koch-Beuttenmueller
To:
Subject: Solving ODE using method of undermined coefficients
I would have done it like this:
> yp := proc (x) options operator, arrow; A*x*exp(-2*x)+B*exp(3*x) end
proc;
yp := x -> A x exp(-2 x) + B exp(3 x)
> diff(yp(x),`$`(x,2))+5*diff(yp(x),x)+6*yp(x) =
> 3*exp(-2*x)+exp(3*x);
>
A exp(-2 x) + 30 B exp(3 x) = 3 exp(-2 x) + exp(3 x)
=>
B=1/30, A=3
Heike
|
[View Complete Thread]
Previous by date: [MUG] Re: Airy, Maple Group
Next by date: [MUG] Re: problem with gsolve, Maple Group
Previous thread: [MUG] JacobiSN is wrong?, Jpelaez
Next thread: [MUG] problem with gsolve, Ira Gessel
|
|
|
Datasheet