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Unformatted text preview: 4. Now write down the two equations to 1 st order, involving x 1 (t) and y 1 (t). In doing so, use optimal ordering. This means that if there are 2 or more small terms and there is no way you can figure out their relative sizes, assume they have the same scaling, ie, dont discard one in favor of the other. 5. Important step: Find an annihilator that will kill the dominant term. In this case, the annihilator is really simple but its easy to miss (note: any operation that kills is ok). Using this, you should get more info on the lowest order x (t) and y (t). Thus, find equations for these variables and find the general solutions. Thus, this is the lowest order low frequency response. Does it make sense given what you know about the coupled oscillator problem?...
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This document was uploaded on 12/29/2011.
- Fall '09
- Plasma Physics