Texas Instruments TI-86 - Chapter 10: Differential Equation Graphing

To Next Page

To Previous Page

10DIFFEQ.DOC TI-86, Chap 10, US English Bob Fedorisko Revised: 02/13/01 2:28 PM Printed: 02/13/01 3:02 PM Page 131 of 20

Defining a Differential Equation Graph............................ 132

Entering and Solving Differential Equations ....................139

Using Graph Tools in DifEq Graphing Mode .................... 144

F1 F2 F3

M1 M2

TI 86

Differential

Equation Graphing

Main Page

Default Chapter3
- Table of Contents3
TI-86 Quick Start13
- Preparing to Use Your New TI-8614
- Calculating on the Home Screen15
- Plotting Functions on the Graph Screen21
Chapter 1: Operating the TI-8627
- Installing or Replacing Batteries28
  - When to Replace Batteries28
- Turning on and Turning off the TI-8629
- Adjusting the Display Contrast29
- The Home Screen30
  - Displaying Entries and Answers30
- Entering Numbers31
- Entering Other Characters32
- Entering Expressions and Instructions36
- Diagnosing an Error39
  - Correcting an Error39
- Reusing Previous Entries and the Last Answer40
- Using TI-86 Menus43
- Viewing and Changing Modes46
  - Changing a Mode Setting46
Chapter 2 The CATALOG, Variables, and Characters49
- The CATALOG50
- Storing Data to Variables51
- Classifying Variables as Data Types54
  - The CATLG-VARS (CATALOG-Variables) Menu55
  - Selecting a Variable Name56
- The CUSTOM Menu56
- The CHAR (Character) Menu57
Chapter 3 Math, Calculus, and Test Operations59
- Keyboard Mathematical Functions60
- The MATH Menu61
- The CALC (Calculus) Menu66
- The TEST (Relational) Menu67
  - Using Tests in Expressions and Instructions68
Chapter 4: Constants, Conversions, Bases, and Complex Numbers69
- Using Built-In and User-Created Constants70
- Converting Units of Measure73
- Number Bases77
- Using Complex Numbers82
Chapter 5: Function Graphing85
- Defining a Graph86
- Setting the Graph Mode86
- The GRAPH Menu87
- Using the Equation Editor88
- Setting the Window Variables93
- Setting the Graph Format95
- Displaying a Graph97
Chapter 6: Graph Tools99
- Graph Tools on the TI-86100
- Tracing a Graph102
  - Stopping and Resuming a Trace103
- Resizing the Graph Screen with ZOOM Operations103
- Using Interactive Math Functions107
- Evaluating a Function for a Specified X113
- Drawing on a Graph113
Chapter 7: Tables121
- Displaying the Table122
- Setting up the Table125
  - Viewing and Editing Dependent Variable Equations126
- Clearing the Table126
Chapter 8: Polar Graphing127
- Preview: Polar Graphing128
- Defining a Polar Graph129
- Using Graph Tools in Pol Graphing Mode131
Chapter 9: Parametric Graphing135
- Preview: Parametric Graphing136
- Defining a Parametric Graph137
- Using Graph Tools in Param Graphing Mode140
Chapter 10: Differential Equation Graphing143
- Defining a Differential Equation Graph144
- Entering and Solving Differential Equations151
- Using Graph Tools in Difeq Graphing Mode156
Chapter 11: Lists163
- Lists on the TI-86164
  - The LIST Menu164
  - The LIST NAMES Menu165
- Creating, Storing, and Displaying Lists165
- The List Editor168
- Using List Operations171
  - The LIST OPS (Operations) Menu171
- Using Mathematical Functions with Lists173
- Attaching a Formula to a List Name174
Chapter 12: Vectors179
- Vectors on the TI-86179
- Creating, Storing, and Displaying Vectors181
- Using Mathematical Functions with Vectors188
Chapter 13: Matrices189
- Matrices on the TI-86189
- Creating, Storing, and Displaying Matrices190
- Using Mathematical Functions with Matrices197
Chapter 14: Statistics199
- Statistical Analysis on the TI-86200
- Setting up a Statistical Analysis200
- Results of a Statistical Analysis204
  - The STAT VARS (Statistical Variables) Menu204
- Plotting Statistical Data206
- The STAT DRAW Menu211
- Forecasting a Statistical Data Value211
Chapter 15: Equation Solving213
- Preview: the Equation Solver214
- Entering an Equation in the Equation-Entry Editor215
- Setting up the Interactive-Solver Editor216
- Solving for the Unknown Variable218
- Graphing the Solution219
- Solver Graph Tools219
  - The Solver ZOOM Menu220
- The Simultaneous Equation Solver220
  - Entering Equations to Solve Simultaneously220
  - Storing Equation Coefficients and Results to Variables222
- The Polynomial Root-Finder223
  - Entering and Solving a Polynomial223
  - Storing a Polynomial Coefficient or Root to a Variable224
Chapter 16: Programming225
- Writing a Program on the TI-86226
- Running a Program233
  - Breaking (Interrupting) a Program234
- Working with Programs235
- Running an Assembly Language Program237
- Entering and Storing a String238
  - The STRNG (String) Menu239
  - Creating a String239
Chapter 17: Memory Management241
- Checking Available Memory242
  - The MEM (Memory) Menu242
  - Checking Memory Usage242
- Deleting Items from Memory243
  - The MEM DELET (Delete) Menu243
- Resetting the TI-86244
  - The MEM RESET (Reset) Menu244
  - Clrent (Clear Entry)244
Chapter 18: The TI-86 Communication Link246
- TI-86 Linking Options246
- Connecting the TI-86 to Another Device247
  - The LINK Menu248
- Selecting Data to Send248
- Preparing the Receiving Device252
- Transmitting Data252
  - Receiving Transmitted Data252
- Receiving Transmitted Data253
Chapter 19: Applications255
- Using Math Operations with Matrices256
- Finding the Area between Curves257
- The Fundamental Theorem of Calculus258
- Electrical Circuits260
- Program: Taylor Series262
- Characteristic Polynomial and Eigenvalues264
- Convergence of the Power Series266
- Reservoir Problem268
- Predator-Prey Model270
- Program: Sierpinski Triangle272
Chapter 20 A to Z Function and Instruction Reference273
- Quick-Find Locator274
- Alphabetical Listing of Operations278
Appendix391
- Menu Map392
- Handling a Difficulty404
- Error Conditions405
- Equation Operating System (Eosé)409
  - Implied Multiplication409
  - Parentheses409
- TOL (the Tolerance Editor)410
  - TOL (the Tolerance Editor) - ™ )410
- Computational Accuracy411
- Support and Service Information412
- Warranty Information414

Texas Instruments TI-86 - Chapter 10: Differential Equation Graphing

Table of Contents

Related product manuals