(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' 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[ 907620, 25862]*) (*NotebookOutlinePosition[ 908284, 25885]*) (* CellTagsIndexPosition[ 908240, 25881]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Homogene Gleichung", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(deqn = \(y''\)[x] + \[Gamma]\ \ \(y'\)[x] + \(\[Omega]\^2\) y[x] \[Equal] 0\)], "Input"], Cell[BoxData[ FormBox[ RowBox[{ RowBox[{\(\(y(x)\)\ \[Omega]\^2\), "+", RowBox[{"\[Gamma]", " ", RowBox[{ SuperscriptBox["y", "\[Prime]", MultilineFunction->None], "(", "x", ")"}]}], "+", RowBox[{ SuperscriptBox["y", "\[Prime]\[Prime]", MultilineFunction->None], "(", "x", ")"}]}], "\[Equal]", "0"}], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ leqn = (Simplify[Exp[(-\[Lambda])*x]*#1] & ) /@ (deqn /. 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