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From Mnestero:
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From Mnestero:  
  
On 6.4 prob 10 I am getting a pretty intense solution that is difficult to graph. Am I on the right track? How in depth are we supposed to graph the solution?
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On 6.4 prob 10 I am getting a pretty intense solution that is difficult to graph. Am I on the right track? How in depth are we supposed to graph the solution?  
  
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<br> This is the place.
  
This is the place.
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Response from Mickey Rhoades [[User:Mrhoade|Mrhoade]]
  
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I thought the same thing. &nbsp;My solution is pretty intense as well. &nbsp;It seems like there is the portion from the initial conditions which is e<sup>-2t</sup> - e<sup>-3t</sup> and then there is the portion from the impulse function which is added beginning at pi/2, e<sup>pi</sup>e<sup>-2t</sup> - e<sup>3pi/2</sup>e<sup>-3t</sup> and then there is the portion of the output due to the cosine input beginning at pi. &nbsp;This section looks like a sin/cos wave inside an exponential envelope. &nbsp;Did anyone else come up with something different? -Mick
  
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[[2013 Fall MA 527 Bell|Back to MA527, Fall 2013]]  
 
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Revision as of 12:40, 13 October 2013

Homework 6 collaboration area


From Mnestero:

On 6.4 prob 10 I am getting a pretty intense solution that is difficult to graph. Am I on the right track? How in depth are we supposed to graph the solution?


This is the place.


Response from Mickey Rhoades Mrhoade

I thought the same thing.  My solution is pretty intense as well.  It seems like there is the portion from the initial conditions which is e-2t - e-3t and then there is the portion from the impulse function which is added beginning at pi/2, epie-2t - e3pi/2e-3t and then there is the portion of the output due to the cosine input beginning at pi.  This section looks like a sin/cos wave inside an exponential envelope.  Did anyone else come up with something different? -Mick



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