Mathematics · Numerical Analysis
Let the solution to the initial value problem y' = y - t2 + 1, 0 ≤ t ≤ 2, y(0) = 0.5 be computed using Euler's method with a step-length h = 0.4. If y(0.8) and w(0.8) denote the exact and approximate solutions at t = 0.8 respectively, then an error bound for Euler's method is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 10.1(e0.8 - 1)
- 20.2(0.5e2 - 2)(e0.8 - 1)✓
- 30.1(e0.4 - 1)
- 40.2(0.5e2 - 2)(e0.4 - 1)
Correct answer
0.2(0.5e2 - 2)(e0.8 - 1)
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