(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 10.4' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 559228, 10635] NotebookOptionsPosition[ 554796, 10488] NotebookOutlinePosition[ 555244, 10507] CellTagsIndexPosition[ 555201, 10504] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[StyleBox["Mathematica", FontSlant->"Italic"]], "Section", CellChangeTimes->{{3.649501317557513*^9, 3.649501347940688*^9}}, FontSize->36], Cell["\<\ \[OpenCurlyDoubleQuote]For more than 25 years, Mathematica has defined the \ state of the art in technical computing and provided the principal \ computation environment for millions of innovators, educators, students, and \ others around the world.\[CloseCurlyDoubleQuote]\ \>", "Subsection", CellChangeTimes->{{3.649501363366235*^9, 3.6495013910697613`*^9}, { 3.6495015878544416`*^9, 3.649501589132977*^9}}, TextJustification->1., FontSize->24], Cell[TextData[ButtonBox["Wolfram Demonstration Projects \ http://demonstrations.wolfram.com/", BaseStyle->"Hyperlink", ButtonData->{ URL["http://demonstrations.wolfram.com/"], None}, ButtonNote->"http://demonstrations.wolfram.com/"]], "Subsection", CellChangeTimes->{{3.6495015914980288`*^9, 3.649501601826705*^9}, { 3.649501641100998*^9, 3.649501641101982*^9}, {3.6495016844835777`*^9, 3.6495017583091793`*^9}}, FontSize->24], Cell[TextData[{ "Comprehensive Documentation ", ButtonBox["http://reference.wolfram.com/language/", BaseStyle->"Hyperlink", ButtonData->{ URL["http://reference.wolfram.com/language/"], None}, ButtonNote->"http://reference.wolfram.com/language/"] }], "Subsection", CellChangeTimes->{{3.649501847006468*^9, 3.6495018836663103`*^9}}, FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " Notebooks (*.nb)" }], "Section", CellChangeTimes->{{3.6187393313722763`*^9, 3.6187393641619873`*^9}, { 3.618739544731097*^9, 3.618739552810526*^9}}, FontSize->36], Cell[CellGroupData[{ Cell[TextData[{ "When ", StyleBox["Mathematica", FontSlant->"Italic"], " is first started, it displays an empty notebook with a blinking cursor. \ You can start typing right away. 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TraditionalForm]], FontSize->16, FontWeight->"Bold", FontColor->GrayLevel[0]], StyleBox["dx", FontWeight->"Bold", FontColor->GrayLevel[0]], StyleBox[" ", FontWeight->"Bold"], "\nand the general solution was found (by integration) to be \n", Cell[BoxData[ FormBox[ RowBox[{ RowBox[{"y", "-", FractionBox[ SuperscriptBox["y", "3"], "3"], "+", "c"}], "=", FractionBox[ SuperscriptBox["x", "3"], "3"]}], TraditionalForm]], FontSize->24, FontWeight->"Bold", FontColor->GrayLevel[0]], ", where c is a constant parameter." }], "Subsection", CellChangeTimes->{{3.6227840991408663`*^9, 3.6227842017184477`*^9}, { 3.622784280656753*^9, 3.622784299706006*^9}, {3.622784392617425*^9, 3.622784393504128*^9}, {3.62281324950844*^9, 3.622813301518928*^9}, { 3.653858541782558*^9, 3.653858551635207*^9}, {3.683097495960436*^9, 3.683097496759345*^9}}, TextJustification->1., FontSize->24], Cell[TextData[{ StyleBox["The implicit curves", FontSize->24], "\n ", Cell[BoxData[ FormBox[ StyleBox[ RowBox[{ RowBox[{"y", 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