Attachment 23375

do you have a idea about it?can you help me

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- Mar 14th 2012, 01:14 PMoasiHomogeneous linear ODEs with Constant Coefficients
Attachment 23375

do you have a idea about it?can you help me

http://img17.imageshack.us/img17/1156/18176658.png - Mar 19th 2012, 12:28 AMprincepsRe: Homogeneous linear ODEs with Constant Coefficients
- Mar 19th 2012, 05:40 AMProve ItRe: Homogeneous linear ODEs with Constant Coefficients
You're looking for a particular function, which, when added or subtracted with scalar multiples of its derivatives, will end up as 0. This means that the particular function and its derivatives need to be of the same "family". The exponential function is an obvious choice, because the exponential function is its own derivative (i.e. the derivatives will be in the same family).