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Numerical Methods for Ordinary Differential Equations: Initial Value Problems Note: = the time-step size = the appropriate rate going to infinity = the absolute error

Numerical Methods for Ordinary Differential Equations: Initial Value Problems

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Note:

image text in transcribed = the time-step size

image text in transcribed= the appropriate rate going to infinity

image text in transcribed = the absolute error image text in transcribed

image text in transcribed = the error ratio

My Euler Method Code:

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Based On Euler's Method:

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5. Consider the same IVP as from Problem #1: u(t) = 21(1+u) u(0) = 0. = 1,2,3,..., 10. Apply your Euler method code to this IVP on 0

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