Talk:Annihilator method: Difference between revisions
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== Difference between Annihilator method and undetermined coefficients == |
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Two methods are not identical. Annihilator method systematically determines which function rather than "guess" in undetermined coefficients, and it helps on several occasions. |
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For example, y''+2y'-3=e<sup>x</sup>, by using undetermined coefficients, often people will come up with y<sub>p</sub>=e<sup>x</sup> as first guess but by annihlator method, we can see that the equation reduces to (D+3)(D-1)<sup>2</sup> which obviously shows that y<sub>p</sub>=xe<sup>x</sup> |
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[[User:Revenge king|Revenge king]] ([[User talk:Revenge king|talk]]) 02:32, 3 December 2008 (UTC) |
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== New Information == |
== New Information == |
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Revision as of 02:32, 3 December 2008
Difference between Annihilator method and undetermined coefficients
Two methods are not identical. Annihilator method systematically determines which function rather than "guess" in undetermined coefficients, and it helps on several occasions. For example, y+2y'-3=ex, by using undetermined coefficients, often people will come up with yp=ex as first guess but by annihlator method, we can see that the equation reduces to (D+3)(D-1)2 which obviously shows that yp=xex Revenge king (talk) 02:32, 3 December 2008 (UTC)
New Information
From the examples given in the page about the method of undetermined coefficients, it seems that these two methods are not identical. I have split off the appropriate example from that article and moved it here, since it seemed unrelated to the other two examples given. However, I still don't know exactly how these two methods are related to each other, so if anyone else knows anything about that, please contribute. Also, this article needs to be cleaned up a lot. Rundquist 00:42, 24 June 2007 (UTC)