Graphing ODE Integral Curves on the TI-89

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    Odes Ti-89
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Discussion Overview

The discussion focuses on how to graph integral curves and slope fields of ordinary differential equations (ODEs) using the TI-89 calculator. Participants share methods and seek clarification on specific functionalities of the device.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant inquires about the process for graphing integral curves and slope fields on the TI-89, indicating a lack of access to the manual.
  • Another participant provides a method involving the use of the MODE and DIAMOND keys, along with an example of a differential equation.
  • A question is raised regarding the purpose of the initial condition input (Yi1) in the graphing process.
  • A subsequent reply clarifies that Yi1 represents the initial condition, specifically stating it is set to 1 in the example provided.

Areas of Agreement / Disagreement

The discussion does not appear to have any explicit disagreements, but it includes clarifications and questions about the graphing process and initial conditions.

Contextual Notes

Participants do not provide detailed explanations of the underlying mathematical concepts related to ODEs or the specific functionalities of the TI-89 beyond the immediate context of graphing.

Who May Find This Useful

This discussion may be useful for users of the TI-89 calculator who are interested in graphing differential equations and those seeking clarification on initial conditions in this context.

amcavoy
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Does anyone know how to graph the integral curves / slope fields of ODEs on the 89? I don't have a manual for mine, and suppose a few of you are quite familiar with it.

Thanks in advance.
 
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MODE=>Graph=>Diff Equations
DIAMOND=>F1
y1'=5t
yi1=1

or you can just solve for the equation directly like this:

desolve(y''=(-g/l)y',t,y)
 
What is the Yi1 for?

Thanks for the response.
 
Y intial condition 1
 
Alright sounds good. I appreciate it dduardo.
 

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