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Consider the differential equation y'(t) = -t/y, y(3) = 4 Use one step of the midpoint method to approximate the solution y(4) (i.e., y(t) at t=4) Given that the exact solution y*(4) = 3, which of the following correctly bounds the absolute error? • 10¹ > error > 10⁰ • 10⁰> error > 10-1 • 10-¹> error > 10-² • 10-² > error > 10-³

Consider the differential equation y'(t) = -t/y, y(3) = 4 Use one step of the midpoint method to approximate the solution y(4) (i.e., y(t) at t=4) Given that the exact solution y*(4) = 3, which of the following correctly bounds the absolute error? • 10¹ > error > 10⁰ • 10⁰> error > 10-1 • 10-¹> error > 10-² • 10-² > error > 10-³

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Midpoint method

Midpoint method Consider the differential equation y' (t) = -t/y, y(3) = 4 Use one step of the midpoint method to approximate the solution y(4) (i. e., y(t) at t = 4) Given that the exact solution y*(4) = 3, which of the following correctly bounds the absolute error? 10¹ > error > 10⁰ 10⁰> error > 10-¹ • 10-¹ • 10-2 error > 10-² error > 10-³
Transcribed Image Text:Midpoint method Consider the differential equation y' (t) = -t/y, y(3) = 4 Use one step of the midpoint method to approximate the solution y(4) (i. e., y(t) at t = 4) Given that the exact solution y*(4) = 3, which of the following correctly bounds the absolute error? 10¹ > error > 10⁰ 10⁰> error > 10-¹ • 10-¹ • 10-2 error > 10-² error > 10-³
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