| Maple... |
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| Maple tells us that the exact solution of the equation |
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| y ' = y - x that has y(0) = 2 is y(x)
= x + 1 + ex |
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| and so we have y(1) = 4.718281828. |
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| So
the Euler method result is pretty close (within 10%). We |
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| could
do better by decreasing Dx, but of course then we'd |
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| need
more steps to reach x = 1. |
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| You'll
get to try a couple of these on this week's homework. |
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