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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[ 6313225, 203965]*) (*NotebookOutlinePosition[ 6313900, 203988]*) (* CellTagsIndexPosition[ 6313856, 203984]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Simple Coupled Oscillators", "Title"], Cell["Analytic Solution ", "Subtitle"], Cell[CellGroupData[{ Cell["2 Uncoupled Oscillators", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(DSolve[{\(x''\)[t] + \ \(\[Omega]\^2\) x[t] \[Equal] 0, \ \(y''\)[t] + \(\[Omega]\^2\) y[t] \[Equal] 0}, \ {x[t], y[t]}, t]\)], "Input", CellLabel->"In[1]:="], Cell[BoxData[ \({{x[t] \[Rule] C[1]\ Cos[t\ \[Omega]] 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