# L1 - 1st Order Systems Governing equations Governing...

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1st Order Systems Governing equations Governing equation is an ordinary differential eqn. (ODE) with only 1 st order derivatives Consider Linear Eqn.: () dx xF t dt µ += µ = constant & positive t = independent variable, e.g. time General Solution 1 tt xe C eF t d t µµ =+  made up of 2 parts that are additive First part is solution for F ( t ) = 0 (homogenous) which is t xC e = Note: this eqn. describes an exponential decay

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## This note was uploaded on 07/20/2009 for the course AME 341AL taught by Professor Pottebaum during the Fall '07 term at USC.

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L1 - 1st Order Systems Governing equations Governing...

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