Using piece-wise defined functions in systems of DE's
If you choose to do Lab 2.4, you will need to work with a system of first-order differential equations that involves a piecewise defined function. To create a piecewise defined function in Maple, use the following syntax.
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The following code defines the system of first-order DE's that corresponds to the second-order DE in Part 3 of Lab 2.4. Here, I have used k_1=12.5 and k_2=4.7, but you can modify these values if you choose.
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![[diff(y(t), t) = v(t), diff(v(t), t) = `+`(10, `-`(`*`(12.5, `*`(y(t)))), `-`(`*`(4.7, `*`(piecewise(`<=`(0, y(t)), y(t), `<`(y(t), 0), 0)))))]](images_piecewise/Piecewise_7.gif){kind=small} |
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