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8. Derive the recursive formula for the numerical solution of the following differential equation x(t)=-8x(t) + 3u(t), where u(t)-1(t) and the step size is h-0.1. .a. for the explicit Euler method. b. for the improved Euler method.

8. Derive the recursive formula for the numerical solution of the following differential equation x(t)=-8x(t) + 3u(t), where u(t)-1(t) and the step size is h-0.1. .a. for the explicit Euler method. b. for the improved Euler method.

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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8. Derive the recursive formula for the numerical solution of the following differential equation x(t)=-8x(t) + 3u(t), where u(t)-1(t) and the step size is h-0.1. .a. for the explicit Euler method. b. for the improved Euler method.
Transcribed Image Text:8. Derive the recursive formula for the numerical solution of the following differential equation x(t)=-8x(t) + 3u(t), where u(t)-1(t) and the step size is h-0.1. .a. for the explicit Euler method. b. for the improved Euler method.
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