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Math Help - Euler Method Problem

  1. #1
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    Euler Method Problem

    I have a test in 3 days. Teacher gives a study guide with no answers or solutions. I'm having trouble with this problem:

    Use Euler's Method with five steps to approximate the solution to the initial value problem:

    y' = y^2 + x
    y(0) = 0

    Note: Since the step size is given I figure we can choose a reasonable value.

    I just keep getting a bunch of zeroes when I do it. Any help would be great! Thanks everyone!
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  2. #2
    MHF Contributor
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    Re: Euler Method Problem

    With Euler's method you have

    y_{n+1} = y_n + h\left(x_n + y_n^2\right), x_0 = 0, y_0 = 0, right?

    The first one you get is zero (I'll agree with that). However the subsequent ones shouldn't be. Are you incrementing x_n?
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