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Messages - Branden Zipplinger

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MidTerm / Re: MT Problem 3
« on: March 07, 2013, 04:58:04 AM »
has a theorem been discovered that describes what the form of a non-homogeneous equation should look like for it to be solvable by undetermined coefficients?

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MidTerm / Re: MT Problem 3
« on: March 07, 2013, 02:20:51 AM »
nevermind.

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MidTerm / Re: MT Problem 3
« on: March 06, 2013, 11:22:05 PM »
(by g(x) i mean the non-homogeneous term)

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MidTerm / Re: MT Problem 3
« on: March 06, 2013, 11:20:47 PM »
for the bonus, the method of undetermined coefficients does not apply here, because when we assume y is of the form g(x), deriving twice and substituting into the equation yields terms with powers of t such that it is impossible to find a coefficient where the solution is of the form you assumed. this can be easily verified

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MidTerm / Re: MT Problem 4
« on: March 06, 2013, 10:53:05 PM »
there needs to be a correction in my solution: I said r = 2i when its other part of the conjugate pair, -2i, was not mentioned. and I should have subbed the r's with a 1,2, and 3 respectively for good notation

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MidTerm / Re: MT Problem 1
« on: March 06, 2013, 10:27:36 PM »
here's my solution. sorry for the picture again

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MidTerm / Re: MT Problem 4
« on: March 06, 2013, 10:04:31 PM »
Here is the solution. I apologize for the picture instead of code, but time was of the essence

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