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Unformatted text preview: ME360  Dynamic Systems Handout on ODEs Prof. Gillespie  Fall 2010 ME360  Modeling, Analysis, and Control of Dynamical Systems  Fall 2010  Handout on ODEs Solving differential equations may be something you havent done in a while. The following is intended as a quick review. I offer pointers by going through a simple example and applyting the method involving the homogeneous and particular solutions. Note that this approach is not the only one available for solving ODEs. You probably encountered others in ME216. In fact, later in this class, we will be developing and applying an alternative method involving the use of Laplace Transforms. In the end, all methods should produce the same solution. I figure you are most familiar with the approach involving the homogeneous and particular solutions and a quick brushup will help prepare you for the Laplace Transform approach. Example x + 2 x = 4 1( t ) , x (0) = 5 (1) This is a firstorder differential equation. It is linear, with constant coefficients, or linear time invariant (LTI).This is a firstorder differential equation....
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 Fall '10
 Gillespie

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