University of Florida/Egm4313/s12.team11.imponenti/R5.5

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R5.6[edit]

solved by Luca Imponenti

Problem Statement[edit]

Complete the solution to the following problem

where

and

Find the overall solution corresponds to the initial condition:

Plot the solution over 3 periods.

Taking the derivatives of the particular solution

Particular Solution[edit]

Plugging these into the ODE yields

Equating like terms allows us to solve for M and N

So the particular solution is

Overall Solution[edit]

The overall solution in the sum of the homogeneous and particular solutions

To find A and B we apply the initial conditions

Taking the derivative

Giving us the overall solution

   

Plot[edit]

The period for is

Plotting the solution over 3 periods yields

Plot56.jpg

Egm4313.s12.team11.imponenti (talk) 01:56, 30 March 2012 (UTC)