Example: Graph the solution curve for the differential equation: y ′ = x – y, y(1) = 0. | ||
Steps | Key Sequence | Screens |
1. Graph Slope Field | ||
2. Enter Initial Conditions | Press Diamond key, then F1 (for Y=) | |
NOTE: y(1) = 0 means y = 0 when t = 1. | ||
Press up arrow (to t0=0) | ||
Press ENTER, then 1, then ENTER | ||
Press down arrow (to yi1=) | ||
Press 0, then ENTER | ||
3. Graph the Solution Curve | Press Diamond key, then F3 key | |
NOTE: You can graph more than one solution curve when t0=1 at the same time. In addition to the above solution curve, graph the solution with the initial condition y(1) = 2. |
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4. Enter Both Initial Conditions | Press Diamond key, then F1 (for Y=) | |
Press up arrow (to yi1=) | ||
Press ENTER, then 2^{nd}, then ( key | ||
Press 0, then comma key, then 2, then 2^{nd}, then ) key, then ENTER | ||
5. Graph the Solution Curves | Press Diamond key, then F3 key | |
ALTERNATIVELY: You can graph more than one solution curve by using the F8 (i.e., IC) menu. For example, graph the solution curve for the initial condition y(5) = –1. | ||
6. Graph an additional Solution Curve | Press 2^{nd}, then F3 key (for F8) | |
Press 5, then ENTER (for t = 5) | ||
Press (–), then 1, then ENTER (for y = –1) | ||
NOTE: You can delete the manully-graphed solution curves by pressing F4. |