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Differential Equations

Differential Equations

Accuracy and Usefulness of Euler's Method Examples

Example 1

Let y = f (x) be a solution to the IVP

Does Euler's method produce an over- or under-estimate for the value of f (2)?

Example 2

Let y = f (x) be a solution to the IVP

For which starting points will Euler's method produce underestimates and for which starting points will Euler's method produce overestimates?

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