University of Florida/Egm4313/s12.team11.gooding/R2/2.1

Problem R2.1


Part 1

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Problem Statement

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Given the two roots and the initial conditions:

 
 

Find the non-homogeneous L2-ODE-CC in standard form and the solution in terms of the initial conditions and the general excitation  .
Consider no excitation:
 
Plot the solution

Solution

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Characteristic Equation:

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Non-Homogeneous L2-ODE-CC

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Homogeneous Solution:

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Since there is no excitation,
 

  

Substituting the given initial conditions:

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Solving these two equations for   and   yields:

  

Final Solution

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Part 2

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Problem Statement

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Generate 3 non-standard (and non-homogeneous) L2-ODE-CC that admit the 2 values in (3a) p.3-7 as the 2 roots of the corresponding characteristic equation.

Solutions

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--Egm4313.s12.team11.gooding 02:01, 7 February 2012 (UTC)