User Manual
Page 105
Start by using the GRAPH FORMATS dialog box (8 Í). Press 3 B 6 ¸ Display Previews 105 For Graph mode, select DIFF EQUATIONS. Differential Equation Graphing Graph the solution to switch between styles, the implicit plot is not displayed. Display the MODE dialog box. If you press Í to the logistic 1st-order differential equation y' = .001y...(100Ny). Steps and keystrokes 1. Then enter initial conditions in the Y= Editor and interactively from the Graph screen. Note: You can also display the graph as an implicit plot by drawing only the slope field.
Start by using the GRAPH FORMATS dialog box (8 Í). Press 3 B 6 ¸ Display Previews 105 For Graph mode, select DIFF EQUATIONS. Differential Equation Graphing Graph the solution to switch between styles, the implicit plot is not displayed. Display the MODE dialog box. If you press Í to the logistic 1st-order differential equation y' = .001y...(100Ny). Steps and keystrokes 1. Then enter initial conditions in the Y= Editor and interactively from the Graph screen. Note: You can also display the graph as an implicit plot by drawing only the slope field.
User Manual
Page 107
... you did not specify an initial condition, only the slope field is marked with a circle. Return to the Graph screen. Return to the Y= Editor and enter an initial condition: yi1=10 Press 8 # ¸ 10 ¸ 7. Initial conditions entered in the GRAPH FORMATS dialog box). Press 8 % 6. Press 8 ... The initial condition is drawn (as shown to the right. The graph begins at t0. Previews 107 Then it plots to the right. Display the Window Editor, and set the Window variables as specified by Fields=SLPFLD in the Y= Editor always occur at the initial condition and ...
... you did not specify an initial condition, only the slope field is marked with a circle. Return to the Graph screen. Return to the Y= Editor and enter an initial condition: yi1=10 Press 8 # ¸ 10 ¸ 7. Initial conditions entered in the GRAPH FORMATS dialog box). Press 8 % 6. Press 8 ... The initial condition is drawn (as shown to the right. The graph begins at t0. Previews 107 Then it plots to the right. Display the Window Editor, and set the Window variables as specified by Fields=SLPFLD in the Y= Editor always occur at the initial condition and ...
User Manual
Page 415
... of any order, but you press ¸ while a slope or direction field is being drawn, the graph pauses after the field is available, you can select the axes that are plotted. To cancel graphing, press ´. If it for equations of two 1st-... axis. • DIRFLD - Graph format Fields Description Specifies whether to draw a field for only one 1st-order equation, with axes determined by the custom axes settings. • FLDOFF - Draws a slope field for all equations in successfully graphing differential equations. Draws a direction field for the differential equation. •...
... of any order, but you press ¸ while a slope or direction field is being drawn, the graph pauses after the field is available, you can select the axes that are plotted. To cancel graphing, press ´. If it for equations of two 1st-... axis. • DIRFLD - Graph format Fields Description Specifies whether to draw a field for only one 1st-order equation, with axes determined by the custom axes settings. • FLDOFF - Draws a slope field for all equations in successfully graphing differential equations. Draws a direction field for the differential equation. •...
User Manual
Page 418
...ymin + increment ymin + 2ù(increment) © ymin + ncurvesù(increment) (Solution Method = RK only) Tolerance used to draw a slope or direction field across the full width of columns (1 through 80) used by the RK method to help select a step size for solving the equation; Differential ...Equation Graphing 418 must be ,1EL14. (Fields = SLPFLD or DIRFLD only) Number of the screen. (Solution Method = EULER only) Euler iterations between tstep values; Variable ...
...ymin + increment ymin + 2ù(increment) © ymin + ncurvesù(increment) (Solution Method = RK only) Tolerance used to draw a slope or direction field across the full width of columns (1 through 80) used by the RK method to help select a step size for solving the equation; Differential ...Equation Graphing 418 must be ,1EL14. (Fields = SLPFLD or DIRFLD only) Number of the screen. (Solution Method = EULER only) Euler iterations between tstep values; Variable ...
User Manual
Page 419
...but does not affect the field, the TI-89 Titanium reuses the picture in fldpic instead of the field is deleted automatically when you exit the differential equation graphing mode or when you display a graph with Fields = FLDOFF. Differential Equation Graphing 419 xmax = 10. xscl... sufficient points are : t0 = 0. yscl = 1. The fldpic System Variable When a slope or direction field is drawn, a picture of having to a system variable named fldpic. Standard values (set in function graphing, you can speed up the regraphing time significantly. tstep = .1 tplot = 0. ncurves ...
...but does not affect the field, the TI-89 Titanium reuses the picture in fldpic instead of the field is deleted automatically when you exit the differential equation graphing mode or when you display a graph with Fields = FLDOFF. Differential Equation Graphing 419 xmax = 10. xscl... sufficient points are : t0 = 0. yscl = 1. The fldpic System Variable When a slope or direction field is drawn, a picture of having to a system variable named fldpic. Standard values (set in function graphing, you can speed up the regraphing time significantly. tstep = .1 tplot = 0. ncurves ...
User Manual
Page 422
...as set in the Y= Editor If you do not enter initial conditions, the ncurves Window variable (8 $) specifies the number of solution curves graphed automatically. If Fields = SLPFLD DIRFLD FLDOFF Then: Uses ncurves, if not set temporarily at the middle of two 1st-order equations) only. Otherwise, a Diff... is used . DIRFLD is for a 2nd-order equation (or system of the Graph screen. If You Do Not Enter an Initial Condition in the Y= Editor or Window Editor is set to 0, to display a slope or direction field only. • SLPFLD is for a single 1st-order equation only. You can...
...as set in the Y= Editor If you do not enter initial conditions, the ncurves Window variable (8 $) specifies the number of solution curves graphed automatically. If Fields = SLPFLD DIRFLD FLDOFF Then: Uses ncurves, if not set temporarily at the middle of two 1st-order equations) only. Otherwise, a Diff... is used . DIRFLD is for a 2nd-order equation (or system of the Graph screen. If You Do Not Enter an Initial Condition in the Y= Editor or Window Editor is set to 0, to display a slope or direction field only. • SLPFLD is for a single 1st-order equation only. You can...
User Manual
Page 449
You can be selected. Differential Equation Graphing 449 The selected equation must not refer to select one and only one at a time can enter mulNotele equations, but no solution curve is drawn but only one 1st-order equation. In the Graph If the slope field is plotted, screen specify an initial condition. For example: If y1'=y2, an Undefined variable error occurs when you graph. Fields=SLPFLD In the Y= Editor Use † to any other equation in the Y= Editor.
You can be selected. Differential Equation Graphing 449 The selected equation must not refer to select one and only one at a time can enter mulNotele equations, but no solution curve is drawn but only one 1st-order equation. In the Graph If the slope field is plotted, screen specify an initial condition. For example: If y1'=y2, an Undefined variable error occurs when you graph. Fields=SLPFLD In the Y= Editor Use † to any other equation in the Y= Editor.
User Manual
Page 919
y (x plus negative y) is correct. Rand type functions not allowed in 3D graphing Recursion is invalid; whereas, x+-y (x plus minus y) is limited to 8 characters Window variables domain Zoom Warning: ö%^0 or undef^0 replaced by 1 Warning: 0^0 replaced by 1 Warning: 1^% or 1^... of the entry is limited to 255 calls deep Reserved name or system variable ROM-resident routine not available Sequence setup Signature error Singular matrix Slope fields need one or more zeros Warning: May produce false equation Appendix B: Technical Reference 920
y (x plus negative y) is correct. Rand type functions not allowed in 3D graphing Recursion is invalid; whereas, x+-y (x plus minus y) is limited to 8 characters Window variables domain Zoom Warning: ö%^0 or undef^0 replaced by 1 Warning: 0^0 replaced by 1 Warning: 1^% or 1^... of the entry is limited to 255 calls deep Reserved name or system variable ROM-resident routine not available Sequence setup Signature error Singular matrix Slope fields need one or more zeros Warning: May produce false equation Appendix B: Technical Reference 920
User Manual
Page 980
SLPFLD, slope field . . 415, 423, 448 solution methods . . . . 414, 439, 948 third order 431 troubleshooting 447 diftol window variable 418 dim( ), dimension 811 dimension, dim 602 direction field, DIRFLD . . . 415, 423, 450 DIRFLD, direction field . . . 415, 423, 450 discontinuities detecting 92 Disp, display I/O screen . .130, 582, 620, 636 812 DispG, display graph . . . . 620, 627, 812 DispHome...
SLPFLD, slope field . . 415, 423, 448 solution methods . . . . 414, 439, 948 third order 431 troubleshooting 447 diftol window variable 418 dim( ), dimension 811 dimension, dim 602 direction field, DIRFLD . . . 415, 423, 450 DIRFLD, direction field . . . 415, 423, 450 discontinuities detecting 92 Disp, display I/O screen . .130, 582, 620, 636 812 DispG, display graph . . . . 620, 627, 812 DispHome...
User Manual
Page 1001
...sinusoidal regression .548, 879, 946 sinusoidal regression, SinReg .548, 879, 946 slope field, SLPFLD . . . . . 415, 423, 448 SLPFLD, slope field . . . . . 415, 423, 448 Smart Graph 318 SocialSt (social studies) category . . . . 31 software version 233 Solution Method graph format 414 solution, deSolve 266, 444, 809 solve( ), solve 77, 83... 509 setting 506 switch, switch 617, 886 switching 512 Split Screen mode 188, 924 split-screen mode active graph 38 exiting 64 Number of graphs 62 returning from within an App . . . . . 31 selecting active App 64 setting 59 setting initial...
...sinusoidal regression .548, 879, 946 sinusoidal regression, SinReg .548, 879, 946 slope field, SLPFLD . . . . . 415, 423, 448 SLPFLD, slope field . . . . . 415, 423, 448 Smart Graph 318 SocialSt (social studies) category . . . . 31 software version 233 Solution Method graph format 414 solution, deSolve 266, 444, 809 solve( ), solve 77, 83... 509 setting 506 switch, switch 617, 886 switching 512 Split Screen mode 188, 924 split-screen mode active graph 38 exiting 64 Number of graphs 62 returning from within an App . . . . . 31 selecting active App 64 setting 59 setting initial...