(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 4.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 70149, 1889]*) (*NotebookOutlinePosition[ 70824, 1912]*) (* CellTagsIndexPosition[ 70780, 1908]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Mathematica Lab Exercise #3", "Subtitle"], Cell[BoxData[ StyleBox[\(In\ this\ lab\ we\ will\ explore\ the\ damped\ and\ driven\ \ harmonic\ oscillator . \ The\ equations\ of\ motion\ \(are : \[IndentingNewLine]\ \[IndentingNewLine]\ \ \ \ \(\(d\^2\) x\)\/dt\^2 + \ 2\ \[Beta]\ \ dx\/dt\ + \ \[Omega]\_0\^2\ x\)\ = \ f \((t)\), \[IndentingNewLine]\[IndentingNewLine]where\ f \((t)\)\ is\ \ the\ time - 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