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    Euler's Method

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    Use Eulers method with step size 0.1 to estimate y(0.5),

    where y(x) is the solution of the initial-value problem y ' = 3y + 3xy,

    y(0) = 1. (Give the answer to four decimal places.)

    y(0.5) =

    © BrainMass Inc. brainmass.com October 9, 2019, 8:53 pm ad1c9bdddf
    https://brainmass.com/math/ordinary-differential-equations/eulers-method-165771

    Solution Preview

    Let f(x,y) = 3y + 3xy, then y' = f(x,y)
    By Euler's method with step size 0.1, we have h = 0.1, then
    y(0) = 1,
    y(0.1) = y(0) + hf(0,y(0)) = ...

    Solution Summary

    Euler's method is employed. The initial-value problems for the estimate methods are determined.

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