Mathematics · Numerical Analysis
Consider the initial value problem (IVP): y' + y = 0, with y(0) = 1. Let (yn) be the iterates of the forward Euler method applied to this IVP with a step size h where 0 < h < 1. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The sequence (yn) does not converge
- 2yn → 0 as n → ∞✓
- 3The sequence (yn) is oscillating and divergent
- 4yn > 1 for all n ≥ 1
Correct answer
yn → 0 as n → ∞
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