I was introduced to the d operator to help solve constant coefficient differential equations for the particular integral without using trial solutions:(adsbygoogle = window.adsbygoogle || []).push({});

http://en.wikipedia.org/wiki/Differential_operator

http://en.wikipedia.org/wiki/Shift_theorem

The results generally seem sensible, but there are a few results that aren't intuitive

e.g. (1-D)^{-1}can be expanded to (1+D+D^{2}+...) as though it were any number on (-1,1)

How can you show something like this to be mathematically viable.

I have so far been using results that haven't been proven to me. It feels like black magic!

Thanks

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# Using the D operator without true understanding.

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