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    Calculus - Numerical Analysis - Approximations

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    Use Modified Euler's Method to approximate the solution to the initial value problem
    and compare the results to the actual values
    y'=1+(t-y)^2 , 2 <=t<=3 , y(2) = 1 with h = 0.5

    Actual solution y(t)=t+1/(1-t)

    For full description of the question, please see the attached question file

    © BrainMass Inc. brainmass.com December 24, 2021, 6:28 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/calculus-numerical-analysis-approximations-116422

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    Solution
    Using Modified Euler's Method y(2.5) = 1.868164 and ...

    Solution Summary

    The posted problem is solved using step by step method and explanation and all the working.
    It facilitates students to use this solution to solve other similar problems.

    Using Modified Euler's Method y(2.5) = 1.868164 and y(3) = 2.526854

    Values from actual solution are y(2.5) = 1.833333 and y(3) = 2.5

    For detailed step by step solution of the problem with all working, please see the attached solution file.
    For detailed step by step solution, please see the attached solution file.

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