 My Math Forum A "simple" application of dirac delta "shift theorem"...help

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 February 13th, 2012, 12:45 PM #1 Newbie   Joined: Feb 2012 Posts: 1 Thanks: 0 A "simple" application of dirac delta "shift theorem"...help 1. The problem statement, all variables and given/known data show that for a, b, c, d positive: ?(a/b-c/d) = bd?(ad-bc) 2. Relevant equations ?f(x)?(x-a)dx = f(a) 3. The attempt at a solution Ok so I start with ??(a/b-c/d)f(x)dx But I am not sure how to apply the shift theorem. It seems I need to somehow relate a/b and x so that I can get it in the form of the shift theorem. But trying integration by substitution I always get tangled up. If I let u=a/b, then I can't relate dx to du to intergrate. If I just say let's call a/b as "x". then dx = what? ugh, this is a simple problem too. Seems like its an easy canditate for one of the first proofs shown after learning about the shift theorem so I feel pretty dumb that I'm not sure even where to start... Tags application, delta, dirac, shift theoremhelp, simple Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post johnmath Math Books 6 January 27th, 2013 04:13 PM The Chaz Calculus 1 August 5th, 2011 10:03 PM scherz0 Calculus 1 October 17th, 2009 05:38 AM katie0127 Advanced Statistics 0 December 3rd, 2008 02:54 PM Ujjwal Number Theory 2 September 29th, 2008 08:06 AM

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