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(Methods)Parameters v Undetermined Coefficients

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hils0005
#1
Apr30-08, 02:17 PM
P: 62
Can anyone tell me why I would use one technique over the other? It seems as though undetermined Coef. is much easier to do but I suppose that comes with limitations???
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rock.freak667
#2
Apr30-08, 03:03 PM
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P: 6,204
Quote Quote by hils0005 View Post
Can anyone tell me why I would use one technique over the other? It seems as though undetermined Coef. is much easier to do but I suppose that comes with limitations???
Well if you can guess the particular integral of a Diff eq'n then method of undetermined coefficients will work and the pi's you can usually guess are usually [itex]e^{ax},sinax,cosax,sinax+cosax,etc.[/itex]. But if you have tanx or [itex]\frac{1}{1+x}[/itex] then you'll need to use variation of parameters to solve.
hils0005
#3
Apr30-08, 03:19 PM
P: 62
Thanks for the explanation


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