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October 21st, 2009, 07:57 PM   #1
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Differential Equations

Hi, I have been working on this differential equation problem that is in the attachment i was wondering if someone could give me any advice to if this is the correct way of doing this and if i have the correct answer.

sorry about the poor quality in scanning

Thanks for your time

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Matt is offline  
November 13th, 2009, 02:34 AM   #2
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Re: Differential Equations

I'm having a bit of a problem reading your handwriting, but it looks as though to find a particular solution of the ODE, you set , and then found P = 3/13, Q = 2/13, S = 7/8, and R = 3/4, which is right. But then for some reason in your final answer you switched it around to , which doesn't seem right. How I would do it:

the particular solution of the ode, as you found, is , and the general solution to the homogeneous problem is , and so the general solution to the inhomogeneous problem is

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