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