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March 14th, 2012, 12:59 PM  #1 
Newbie Joined: Mar 2012 Posts: 5 Thanks: 0  Homogeneous linear ODEs with Constant Coefficients
i how a question, if you can help ,i m gonna be happy http://img17.imageshack.us/img17/1156/18176658.png 
March 14th, 2012, 01:16 PM  #2 
Senior Member Joined: Jul 2011 Posts: 227 Thanks: 0  Re: Homogeneous linear ODEs with Constant Coefficients
I think the reason behind it is the fact that thus it's the easiest way to get a polynomial equation what we can solve easily. If you would (for example) substitute then you would get a goniometric equation which is in most cases more difficult to solve then polynomial equations. 
March 14th, 2012, 01:50 PM  #3  
Newbie Joined: Mar 2012 Posts: 5 Thanks: 0  Re: Homogeneous linear ODEs with Constant Coefficients Quote:
so guys any other ideas  

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coefficients, constant, homogeneous, linear, odes 
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