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Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π < t ≤ 4л t > 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of ƒ (t).

Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π < t ≤ 4л t > 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of ƒ (t).

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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Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π < t ≤ 4л t > 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of ƒ (t).
Transcribed Image Text:Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π < t ≤ 4л t > 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) + gз(t)U(t − 4л) where U(t) is the Heaviside function. Enter the functions g₁(t), g2(t), and 83(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of ƒ (t).
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