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Give the inverse Laplace transform of 4 4 S F(s) = + 2e-48 + 3e-4s (s+3)²

Give the inverse Laplace transform of 4 4 S F(s) = + 2e-48 + 3e-4s (s+3)²

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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d) f(x) = = e) f(x)= f) [4x + 4, 2x+12+ 3(x-4) e¹2-3x, 4≤x 8x +4, 0≤x≤4 6x +4+3e-12-3x, 4≤ x 0≤x < 4 None of the above.
Transcribed Image Text:d) f(x) = = e) f(x)= f) [4x + 4, 2x+12+ 3(x-4) e¹2-3x, 4≤x 8x +4, 0≤x≤4 6x +4+3e-12-3x, 4≤ x 0≤x < 4 None of the above.
Question 8 Give the inverse Laplace transform of F(s) = 8x + 4, a) f(x) = 6x +4+3(x-4) e¹2-3, 4≤x [4x + 4, b) f(x) = 0≤x < 4 4≤ x 2x+12+ 3xe¹2-3x, [ 4x + 4, c) f(x) = 2x - -4+3xe-3, 4 = + 4 S 2e 48 82 0 < x < 4 0<x< 4 4≤ x 3e-48 (s + 3)² 4/6
Transcribed Image Text:Question 8 Give the inverse Laplace transform of F(s) = 8x + 4, a) f(x) = 6x +4+3(x-4) e¹2-3, 4≤x [4x + 4, b) f(x) = 0≤x < 4 4≤ x 2x+12+ 3xe¹2-3x, [ 4x + 4, c) f(x) = 2x - -4+3xe-3, 4 = + 4 S 2e 48 82 0 < x < 4 0<x< 4 4≤ x 3e-48 (s + 3)² 4/6
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