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Math Help - euler stepwise method

  1. #1
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    euler stepwise method

    not to sure how to do this question, thanks for any help
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  2. #2
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    Euler, without correction, is the simplest possible method of solution approximation. Are you SURE you are serious about this class? Really, if you are struggling with this, you will not be a happy camper at all in the real near future.

    Just step through it.

    dy/dx = 1 + xy

    y(1) = 0

    Then dy/dx around (1,0) is approximately 1 + (1)(0) = 1

    y(1.1) = 0 + 0.1*1 = 0.1

    The dy/dx around (1.1,0.1) = 1 + 1.1*0.1 = 1 + 0.11 = 1.11

    y(1.2) = 0.1 + 0.1*1.11 = 0.211

    The dy/dx around (1.2,0.211) = 1 + 1.2*0.211 = 1 + 0.12532 = 1.12532

    Two things questionable with this presentation:

    1) It was not necessary to calculate the last value. We were interested in y(1.2).

    2) I carried all decimal places in all calculations. One may wish to concern oneself with proper significant figures. However, it pays to pay attention to all kinds of error.
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  3. #3
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    haha cheers no its a first year class that i have to take and no im not to serious because after about two weeks i was pretty sure i wasnt taking the second year equivelent but thanks for the help!
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  4. #4
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    Fair enough. Good luck with the one year, then.
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