TI-89

Home

First change the mode of your calculator to Differential Equations under the menu GRAPH.

Next enter the differential equation in one of the y slots.  Be sure to enter the equation as a function of y1 and t. 

 

The calculator is looking to write a differential equation that is a function of t.  So if you are solving a differential equation you will enter

 

If you have to enter a differential equation that is a function of x and y, such as , you will enter it as

Set the graph mode to match the choices at the right.  To access the Graph Mode window press š (which is the key  to the left of the 7 key)

You must next set up a window appropriate to view the differential equation. 

To display the slope field in the selected window press GRAPH.

You can also select a starting point through which you want to pass a function.  Return to the y slot and enter an initial value point.  For this first example let's draw a function with the given slope field passing through (0,0).

If you want the function to pass through (2,4) first replace t0 with2 and yi1 with 4. 

To view the graph again press GRAPH.

To view a family of graphs that have the same slope field, but that have different starting points first type in the initial points in a set in yi1: 

Let's look at a family a function what have initial starting points of

{-2, 0, 3}

You can also select an initial starting point interactively with the graph.  Press 2nd F8 and you will be prompted to give the initial point.  You can type in an initial t and an initial y(t) value.  Let's try (2,1)

Here's the result:

To clear your screen of the function and only view the slope field press F4 - Regraph  

 

rev. 01/06/2007 .