Talk:Method of undetermined coefficients

message: I can solve A_n = A A_{n-1} + B A_{n-2}, but how do I go about solving
A_n = A A_{n-1} + B A_{n-2} + k?
Many thanks in advance for your help. Pcb21| Pete 13:49, 22 July 2005 (UTC)

message: Should it be noted that when differential equations yield repeated or imaginary roots the form of the 'guess' changes? --Bmalicoat 05:26, 1 March 2006 (UTC)
replies: text: Yes, it should. Also, more of the theory should be explained. Ruakh 05:56, 1 March 2006 (UTC)
thread_title:  Strange Roots yield different answers 

message: why no add a complitely general solution that can work as a theorem/formula into which you can simply plug in? —The preceding unsigned comment was added by 128.59.154.21 (talk) 01:50, 29 March 2007 (UTC)
replies: text: There is no formula which yields the solution to any inhomogeneous differential equation.  The completely general solution is simply what is already described here: find a solution to the complementary equation (i.e., the homogeneous part), and then find a particular solution to the inhomogeneous version.  Their sum is the general solution. Rundquist 00:33, 24 June 2007 (UTC)
thread_title:  General theorem 

message: Is there any particular reason that this article contains two sections for examples?  If they are to be combined, should it be before or after the "Typical forms" section?  Also, anybody who knows more about the relationship between this method and the annihilator method, please contribute. Rundquist 00:38, 24 June 2007 (UTC)
thread_title:  Example sections 

message: It was mentioned that this method can be used to solve difference equations.  Is there an example of how this is done?
Bvic4 (talk) 17:10, 1 March 2008 (UTC)
thread_title:  Difference Equations 

message: I think that in the sentence: "a particular solution based on the right hand side of the equation needs to be found", the phrase "the right hand side" should be subtituted with the phrase "the inhomogeneous component" or something of that sort, since it is not mandatory to write the inhomogeneous component on the right hand side, it is only a convention. --Rockyrackoon (talk) 08:59, 11 February 2010 (UTC)
thread_title:  "The right hand side of the equation?" 

message: I just added footnotes to the given reference, but it seems wrong. I don't think a book on discrete and combinatorial math will have DEs in it. Does anyone have the book and want to check? 134.173.201.137 (talk) 17:16, 5 March 2010 (UTC)
thread_title:  Citations 

message: Is it really just guesswork? --Joshua Issac (talk) 12:41, 8 March 2012 (UTC)
thread_title:  Guess 

message: Is there a more compact way of expressing that second hypothesis? For clarity, the current spelled-out version could be given too as an explanation of a more compact term for such a function, but if there is a more compact term for that mouthful I, as a reader, would appreciate knowing it. :)
—2d37 (talk) 00:05, 18 October 2020 (UTC)
replies: text:  I would like to add that I'm not even sure that the second hypothesis is correct. It is clear that for (finite) "sums of these functions" we can take a sum of the corresponding Ansatz'es (because the differential operator is linear), however the article does not justify that for "products of these functions", taking a product of the corresponding Ansatz'es will guarantee a solution – having done example problems in undergraduate classes I know that this works in many specific cases, but now that I think about it I am unconvinced that it will work in general. The article needs to address this. Joel Brennan (talk) 18:51, 17 January 2022 (UTC)
thread_title:  Classification of constant term