Texas Instruments TI-89 사용자 설명서

Differential Equation Graphing

 439

Example Comparison of RK and Euler

Example Comparison of RK and Euler

Example Comparison of RK and Euler

Example Comparison of RK and Euler

Consider a logistic growth model 

ù

ù

N

, with the initial condition 

. Use the 

 instruction to compare the graphing points calculated by the RK and 

Euler solution methods. Then plot those points along with a graph of the equation’s exact 
solution.

Example

Example

Example

Example

13. Return to the Graph screen, which 

displays a curve for each pair of initial 
conditions.

14. Press 

… to trace. Then press 

¸ to 

see the number of foxes (

) and rabbits 

(

) at

.

Because 

and 

, you can trace 

in the range 0  t  10.

 Use 

C and D to move the trace 

cursor from one initial condition curve to 
another.

1. Press 

3 and set 

.