(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of 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). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. 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[ 21315, 422]*) (*NotebookOutlinePosition[ 21951, 445]*) (* CellTagsIndexPosition[ 21907, 441]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ \(A = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}\)], "Input"], Cell[BoxData[ \({{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(A // MatrixForm\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", GridBox[{ {"1", "2", "3"}, {"4", "5", "6"}, {"7", "8", "9"} }], ")"}], (MatrixForm[ #]&)]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eigensystem[A]\)], "Input"], Cell[BoxData[ \({{0, 3\/2\ \((5 - \@33)\), 3\/2\ \((5 + \@33)\)}, {{1, \(-2\), 1}, { \(-\(\(15 - \@33\)\/\(\(-33\) + 7\ \@33\)\)\), \(4\ \((\(-6\) + \@33)\)\)\/\(\(-33\) + 7\ \@33\), 1}, { \(-\(\(\(-15\) - \@33\)\/\(33 + 7\ \@33\)\)\), \(4\ \((6 + \@33)\)\)\/\(33 + 7\ \@33\), 1}}}\)], "Output"] }, Open ]], Cell[BoxData[ \(Clear[x1, x2, x3]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\nDSolve[{\(x1'\)[t] == x1[t] + 2 x2[t] + 3 x3[t], \n\t\t \(x2'\)[t] == 4 x1[t] + 5 x2[t] + 6 x3[t], \n\t\t\t\t \(x3'\)[t] == 7 x1[t] + 8 x2[t] + 9 x3[t]}, {x1[t], x2[t], x3[t]}, t]\)\)], "Input"], Cell[BoxData[ \({{x1[t] \[Rule] C[1] + \(( \(-\(\(15\ E\^\(3\/2\ \((5 - \@33)\)\ t\)\)\/\(\(-33\) + 7\ \@33\)\)\) + \(\@33\ E\^\(3\/2\ \((5 - \@33)\)\ t\)\)\/\(\(-33\) + 7\ \@33\))\)\ C[2] + \((\(15\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\)\/\(33 + 7\ \@33\) + \(\@33\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\)\/\(33 + 7\ \@33\)) \)\ C[3], x2[t] \[Rule] \(-2\)\ C[1] + \((\(-\(\(24\ E\^\(3\/2\ \((5 - \@33)\)\ t\)\)\/\(\(-33\) + 7\ \@33\)\)\) + \(4\ \@33\ E\^\(3\/2\ \((5 - \@33)\)\ t\)\)\/\(\(-33\) + 7\ \@33\))\)\ C[2] + \((\(24\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\)\/\(33 + 7\ \@33\) + \(4\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\)\/\(33 + 7\ \@33\))\)\ C[3], x3[t] \[Rule] C[1] + E\^\(3\/2\ \((5 - \@33)\)\ t\)\ C[2] + E\^\(3\/2\ \((5 + \@33)\)\ t\)\ C[3]}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[{ \(Clear[x1, x2, x3]\n\), \(DSolve[{\(x1'\)[t] == x1[t] + 2 x2[t] + 3 x3[t], \n\t\t \(x2'\)[t] == 4 x1[t] + 5 x2[t] + 6 x3[t], \n\t\t\t\t \(x3'\)[t] == 7 x1[t] + 8 x2[t] + 9 x3[t], \n\tx1[0] == 0, x2[0] == 2, x3[1] == 4}, {x1[t], x2[t], x3[t]}, t]\)}], "Input"], Cell[BoxData[ \({{x1[t] \[Rule] \(-\(\((24\ \((\((88\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\ \((11\ E\^\(15/2\) + 22\ E\^\(\(3\ \@33\)\/2\) + 9\ \@33\ E\^\(\(3\ \@33\)\/2\))\))\)/ \((3\ \(( \(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) - \((8\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\ \((11\ E\^\(15/2\) + 22\ E\^\(\(3\ \@33\)\/2\) + 9\ \@33\ E\^\(\(3\ \@33\)\/2\))\))\)/ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\) + \((1936\ \((\(-11\)\ E\^15 + 3\ \@33\ E\^15 - 27\ E\^\(3\ \@33\) - 3\ \@33\ E\^\(3\ \@33\) + 8\ E\^\(3\/2\ \((5 + \@33)\)\) - 6\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\) + 11\ E\^\(3\ \((5 + \@33)\)\) + 3\ \@33\ E\^\(3\ \((5 + \@33)\)\) + 19\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 3\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33)\)\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) - \((968\ E \^\(\(3\ \@33\)\/2 + 3\/2\ \((5 - \@33)\)\ t\)\ \((44\ E\^\(15/2\) - 18\ \@33\ E\^\(15/2\) - 59\ E\^\(\(3\ \@33\)\/2\) - 3\ \@33\ E\^\(\(3\ \@33\)\/2\) + 22\ E\^\(3\/2\ \((10 + \@33)\)\) + 11\ E\^\(15\/2 + 3\ \@33\) + 3\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) - \((88\ \@33\ E\^\(\(3\ \@33\)\/2 + 3\/2\ \((5 - \@33)\)\ t\)\ \((44\ E\^\(15/2\) - 18\ \@33\ E\^\(15/2\) - 59\ E\^\(\(3\ \@33\)\/2\) - 3\ \@33\ E\^\(\(3\ \@33\)\/2\) + 22\ E\^\(3\/2\ \((10 + \@33)\)\) + 11\ E\^\(15\/2 + 3\ \@33\) + 3\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)/ \((\((22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\))\))\)/ \((\((\(-33\) + 7\ \@33)\)\ \((33 + 7\ \@33)\))\)\)\), x2[t] \[Rule] \(-\(\((12\ \((\(-\(\(( 88\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\ \((11\ E\^\(15/2\) + 22\ E\^\(\(3\ \@33\)\/2\) + 9\ \@33\ E\^\(\(3\ \@33\)\/2\))\))\)/ \((3\ \(( \(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)\)\) - \((8\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\ \((11\ E\^\(15/2\) + 22\ E\^\(\(3\ \@33\)\/2\) + 9\ \@33\ E\^\(\(3\ \@33\)\/2\))\))\)/ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\) - \((7744\ \((\(-11\)\ E\^15 + 3\ \@33\ E\^15 - 27\ E\^\(3\ \@33\) - 3\ \@33\ E\^\(3\ \@33\) + 8\ E\^\(3\/2\ \((5 + \@33)\)\) - 6\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\) + 11\ E\^\(3\ \((5 + \@33)\)\) + 3\ \@33\ E\^\(3\ \((5 + \@33)\)\) + 19\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 3\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33)\)\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) + \((968\ E \^\(\(3\ \@33\)\/2 + 3\/2\ \((5 - \@33)\)\ t\)\ \((44\ E\^\(15/2\) - 18\ \@33\ E\^\(15/2\) - 59\ E\^\(\(3\ \@33\)\/2\) - 3\ \@33\ E\^\(\(3\ \@33\)\/2\) + 22\ E\^\(3\/2\ \((10 + \@33)\)\) + 11\ E\^\(15\/2 + 3\ \@33\) + 3\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) - \((88\ \@33\ E\^\(\(3\ \@33\)\/2 + 3\/2\ \((5 - \@33)\)\ t\)\ \((44\ E\^\(15/2\) - 18\ \@33\ E\^\(15/2\) - 59\ E\^\(\(3\ \@33\)\/2\) - 3\ \@33\ E\^\(\(3\ \@33\)\/2\) + 22\ E\^\(3\/2\ \((10 + \@33)\)\) + 11\ E\^\(15\/2 + 3\ \@33\) + 3\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)/ \((\((22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\))\))\)/ \((\((\(-33\) + 7\ \@33)\)\ \((33 + 7\ \@33)\))\)\)\), x3[t] \[Rule] \((8\ E\^\(3\/2\ \((5 + \@33)\)\ t\)\ \((11\ E\^\(15/2\) + 22\ E\^\(\(3\ \@33\)\/2\) + 9\ \@33\ E\^\(\(3\ \@33\)\/2\))\))\)/ \((3\ \(( \(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) - \((88\ \(( \(-11\)\ E\^15 + 3\ \@33\ E\^15 - 27\ E\^\(3\ \@33\) - 3\ \@33\ E\^\(3\ \@33\) + 8\ E\^\(3\/2\ \((5 + \@33)\)\) - 6\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\) + 11\ E\^\(3\ \((5 + \@33)\)\) + 3\ \@33\ E\^\(3\ \((5 + \@33)\)\) + 19\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 3\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33)\)\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\) - \((88\ E\^\(\(3\ \@33\)\/2 + 3\/2\ \((5 - \@33)\)\ t\)\ \((44\ E\^\(15/2\) - 18\ \@33\ E\^\(15/2\) - 59\ E\^\(\(3\ \@33\)\/2\) - 3\ \@33\ E\^\(\(3\ \@33\)\/2\) + 22\ E\^\(3\/2\ \((10 + \@33)\)\) + 11\ E\^\(15\/2 + 3\ \@33\) + 3\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(% // Simplify\)], "Input"], Cell[BoxData[ \({{x1[t] \[Rule] \((1408\ \(( 121\ E\^15 - 33\ \@33\ E\^15 + 297\ E\^\(3\ \@33\) + 33\ \@33\ E\^\(3\ \@33\) - 88\ E\^\(3\/2\ \((5 + \@33)\)\) + 66\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\) - 121\ E\^\(3\ \((5 + \@33)\)\) - 33\ \@33\ E\^\(3\ \((5 + \@33)\)\) - 209\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) - 33\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 737\ E\^\(3\/2\ \((5 + \@33)\)\ \((1 + t)\)\) - 33\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\ \((1 + t)\)\) - 473\ E\^\(3\ \@33 - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 105\ \@33\ E\^\(3\ \@33 - 3\/2\ \((\(-5\) + \@33)\)\ t\) + 121\ E\^\(3\ \((5 + \@33)\) - 3\/2\ \((\(-5\) + \@33)\)\ t\) + 33\ \@33\ E\^\(3\ \((5 + \@33)\) - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 649\ E\^\(3\/2\ \((5 + \@33 - \((\(-5\) + \@33)\)\ t)\)\) - 33\ \@33\ E\^\(3\/2\ \((5 + \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 209\ E\^\(3\/2\ \((5 + 3\ \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 33\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33 - \((\(-5\) + \@33)\)\ t)\)\) - 121\ E\^\(15 + 3\/2\ \((5 + \@33)\)\ t\) + 33\ \@33\ E\^\(15 + 3\/2\ \((5 + \@33)\)\ t\) + 176\ E\^\(3\ \@33 + 3\/2\ \((5 + \@33)\)\ t\) + 72\ \@33\ E\^\(3\ \@33 + 3\/2\ \((5 + \@33)\)\ t\))\))\)/ \((\((\(-33\) + 7\ \@33)\)\ \((33 + 7\ \@33)\)\ \((22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\), x2[t] \[Rule] \((704\ \(( \(-484\)\ E\^15 + 132\ \@33\ E\^15 - 1188\ E\^\(3\ \@33\) - 132\ \@33\ E\^\(3\ \@33\) + 352\ E\^\(3\/2\ \((5 + \@33)\)\) - 264\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\) + 484\ E\^\(3\ \((5 + \@33)\)\) + 132\ \@33\ E\^\(3\ \((5 + \@33)\)\) + 836\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 132\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 1342\ E\^\(3\/2\ \((5 + \@33)\)\ \((1 + t)\)\) + 198\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\ \((1 + t)\)\) + 176\ E\^\(3\ \@33 - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 72\ \@33\ E\^\(3\ \@33 - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 121\ E\^\(3\ \((5 + \@33)\) - 3\/2\ \((\(-5\) + \@33)\)\ t\) + 33\ \@33\ E\^\(3\ \((5 + \@33)\) - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 1133\ E\^\(3\/2\ \((5 + \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 165\ \@33\ E\^\(3\/2\ \((5 + \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 88\ E\^\(3\/2\ \((5 + 3\ \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 121\ E\^\(15 + 3\/2\ \((5 + \@33)\)\ t\) + 33\ \@33\ E\^\(15 + 3\/2\ \((5 + \@33)\)\ t\) + 1309\ E\^\(3\ \@33 + 3\/2\ \((5 + \@33)\)\ t\) + 237\ \@33\ E\^\(3\ \@33 + 3\/2\ \((5 + \@33)\)\ t\))\))\)/ \((\((\(-33\) + 7\ \@33)\)\ \((33 + 7\ \@33)\)\ \((22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\), x3[t] \[Rule] \((88\ \(( 11\ E\^15 - 3\ \@33\ E\^15 + 27\ E\^\(3\ \@33\) + 3\ \@33\ E\^\(3\ \@33\) - 8\ E\^\(3\/2\ \((5 + \@33)\)\) + 6\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\) - 11\ E\^\(3\ \((5 + \@33)\)\) - 3\ \@33\ E\^\(3\ \((5 + \@33)\)\) - 19\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) - 3\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33)\)\) + 55\ E\^\(3\/2\ \((5 + \@33)\)\ \((1 + t)\)\) + 21\ \@33\ E\^\(3\/2\ \((5 + \@33)\)\ \((1 + t)\)\) + 59\ E\^\(3\ \@33 - 3\/2\ \((\(-5\) + \@33)\)\ t\) + 3\ \@33\ E\^\(3\ \@33 - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 22\ E\^\(3\ \((5 + \@33)\) - 3\/2\ \((\(-5\) + \@33)\)\ t\) - 44\ E\^\(3\/2\ \((5 + \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 18\ \@33\ E\^\(3\/2\ \((5 + \@33 - \((\(-5\) + \@33)\)\ t)\)\) - 11\ E\^\(3\/2\ \((5 + 3\ \@33 - \((\(-5\) + \@33)\)\ t)\)\) - 3\ \@33\ E\^\(3\/2\ \((5 + 3\ \@33 - \((\(-5\) + \@33)\)\ t)\)\) + 22\ E\^\(15 + 3\/2\ \((5 + \@33)\)\ t\) + 103\ E\^\(3\ \@33 + 3\/2\ \((5 + \@33)\)\ t\) + 15\ \@33\ E\^\(3\ \@33 + 3\/2\ \((5 + \@33)\)\ t\))\))\)/ \((3\ \(( 22\ E\^\(15/2\) + 11\ E\^\(\(3\ \@33\)\/2\) + 3\ \@33\ E\^\(\(3\ \@33\)\/2\))\)\ \((\(-11\)\ E\^\(15/2\) + 5\ \@33\ E\^\(15/2\) + 2\ \@33\ E\^\(\(3\ \@33\)\/2\) + 11\ E\^\(15\/2 + 3\ \@33\) + 5\ \@33\ E\^\(15\/2 + 3\ \@33\))\))\)}}\)], "Output"] }, Open ]] }, FrontEndVersion->"X 3.0", ScreenRectangle->{{0, 1152}, {0, 900}}, WindowSize->{520, 600}, WindowMargins->{{259, Automatic}, {Automatic, 45}} ] (*********************************************************************** Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. ***********************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1731, 51, 70, 1, 66, "Input"], Cell[1804, 54, 67, 1, 36, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[1908, 60, 48, 1, 37, "Input"], Cell[1959, 63, 200, 7, 112, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2196, 75, 47, 1, 37, "Input"], Cell[2246, 78, 350, 6, 430, "Output"] }, Open ]], Cell[2611, 87, 50, 1, 37, "Input"], Cell[CellGroupData[{ Cell[2686, 92, 249, 4, 269, "Input"], Cell[2938, 98, 1090, 21, 1010, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4065, 124, 317, 5, 327, "Input"], Cell[4385, 131, 10502, 169, 8073, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[14924, 305, 46, 1, 37, "Input"], Cell[14973, 308, 6326, 111, 4374, "Output"] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)