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 Post subject: Solving for Undetermined Coefficents - Particular SolutionPosted: Wed, 15 Feb 2012 07:24:56 UTC
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Joined: Thu, 23 Dec 2010 04:26:44 UTC
Posts: 22
I am solving for the general solution of non-homogeous DE. I have the complementary part of the general solution just having trouble with the particular solution part on this one.

I have

2y'' 3y' - 2y = 6x^2e^x - 4x^2 + 12

y = Ax^2e^x + bx^2 or would it be
y = Ax^2e^x + (bx^2 +cx+d) and the differienate to find y' and y'' and plug it back in am I doing this one write or is it the second method?

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 Post subject: Re: Solving for Undetermied Coefficents - Particular SolutioPosted: Wed, 15 Feb 2012 07:47:33 UTC

Joined: Sat, 26 Apr 2003 22:14:40 UTC
Posts: 2063
Location: El Paso TX (USA)
It's worse:

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The greater danger for most of us lies not in setting our aim too high and falling short; but in setting our aim too low, and achieving our mark. - Michelangelo Buonarroti

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 Post subject: Re: Solving for Undetermined Coefficents - Particular SolutiPosted: Wed, 15 Feb 2012 07:52:51 UTC
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Joined: Thu, 23 Dec 2010 04:26:44 UTC
Posts: 22
ok thaks I was sure with the x^2 as well i the first product as well.

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