In addition to the above solution curve, graph the solution with the initial condition y(1) = 2.
| Example: Graph the solution curve for the differential equation: y ′ = x – y, y(1) = 0. | ||
| Steps | Key Sequence | Screens |
| 1. Graph Slope Field | |
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| 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) | |
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| Press ENTER, then 1, then ENTER | |
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| Press down arrow (to yi1=) | |
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| Press 0, then ENTER | |
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| 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=) | |
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| Press ENTER, then 2nd, then ( key | |
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| Press 0, then comma key, then 2, then 2nd, then ) key, then ENTER | |
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| 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 2nd, then F3 key (for F8) | |
| Press 5, then ENTER (for t = 5) | |
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| Press (–), then 1, then ENTER (for y = –1) | |
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| NOTE: You can delete the manully-graphed solution curves by pressing F4. | ||