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 Differential Equations Ordinary and Partial Differential Equations Math Forum

April 30th, 2013, 04:53 AM   #1
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Differential equations

I need some help to solve this problem.
Attached Images 6.png (20.2 KB, 645 views) May 7th, 2013, 06:20 AM #2 Newbie   Joined: May 2013 Posts: 5 Thanks: 0 Re: Differential equations This is a simple harmonic motion with sinusoidal forcing. From the second law of motion, we have where placing is obtained , a differential equation of second order with constant coefficients, linear, non-homogeneous. Remembering, for example, the cosine's triple angle formula it has that thanks to the linearity of the equation of motion proffers . Therefore, the first stationary solution is resonant for whilst the second is for (values ??for which cancel out the two denominators). So, to find the pulse of resonance of the system, in effects, you do not need to solve the differential equation, but only to decompose the forcing into a sum of sinusoidal functions harmonics e . In numbers, it's concluded that . I hope I was clear  Tags differential, equations 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 rishav.roy10 Differential Equations 0 August 21st, 2013 05:59 AM Antuanne Differential Equations 2 June 6th, 2013 08:10 AM giga.chalauri Differential Equations 2 April 3rd, 2013 10:34 AM thebigbeast Differential Equations 2 September 11th, 2012 09:27 AM _TJ_ Differential Equations 1 August 29th, 2009 06:08 PM

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