(Methods)Parameters v Undetermined Coefficients

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[SOLVED] (Methods)Parameters v Undetermined Coefficients

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
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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.
 
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Thanks for the explanation
 

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