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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 $\frac{d}{dx}e^x=e^x$ thus it's the easiest way to get a polynomial equation what we can solve easily. If you would (for example) substitute $y=\sin(x)$ 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
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Re: Homogeneous linear ODEs with Constant Coefficients

Quote:
 Originally Posted by Siron I think the reason behind it is the fact that $\frac{d}{dx}e^x=e^x$ thus it's the easiest way to get a polynomial equation what we can solve easily. If you would (for example) substitute $y=\sin(x)$ then you would get a goniometric equation which is in most cases more difficult to solve then polynomial equations.
i can understand.thanks.

so guys any other ideas

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