Graphing ODE Integral Curves on the TI-89

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SUMMARY

This discussion focuses on graphing integral curves and slope fields of ordinary differential equations (ODEs) using the TI-89 calculator. Users can access the differential equations graphing feature by navigating to MODE=>Graph=>Diff Equations and utilizing the DIAMOND=>F1 function. An example provided includes the equation y1'=5t with an initial condition of y1=1. Additionally, the desolve function is highlighted for solving equations directly, such as desolve(y''=(-g/l)y',t,y).

PREREQUISITES
  • Familiarity with the TI-89 calculator interface
  • Understanding of ordinary differential equations (ODEs)
  • Knowledge of initial conditions in differential equations
  • Experience with the desolve function in TI-89
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  • Research how to graph slope fields on the TI-89 calculator
  • Learn about the desolve function and its applications in solving ODEs
  • Explore the use of initial conditions in differential equations
  • Investigate advanced features of the TI-89 for differential equations
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Students, educators, and professionals in mathematics or engineering who are working with ordinary differential equations and utilizing the TI-89 calculator for graphing and solving these equations.

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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