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

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Problem R2.1

Part 1[edit | edit source]

Problem Statement[edit | edit source]

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[edit | edit source]

Characteristic Equation:[edit | edit source]


Non-Homogeneous L2-ODE-CC[edit | edit source]


Homogeneous Solution:[edit | edit source]

Since there is no excitation,


Substituting the given initial conditions:[edit | edit source]



Solving these two equations for and yields:


Final Solution[edit | edit source]



Part 2[edit | edit source]

Problem Statement[edit | edit source]

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[edit | edit source]




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