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17. f(t) = (t 3)u2(t)-(t-2)uz(t) Solution: We can write Differential Equations f(t) = (t2)u₂(t)- u2(t)-(t-3)uz(t) - uz(t). Thus, the Laplace transform is Section 6.3 82 Find the inverse Laplace transform of the given function. 19. F(s) = = 3! (s - 2)4 Solution: The inverse Laplace transform is given by t³e2t.

17. f(t) = (t 3)u2(t)-(t-2)uz(t) Solution: We can write Differential Equations f(t) = (t2)u₂(t)- u2(t)-(t-3)uz(t) - uz(t). Thus, the Laplace transform is Section 6.3 82 Find the inverse Laplace transform of the given function. 19. F(s) = = 3! (s - 2)4 Solution: The inverse Laplace transform is given by t³e2t.

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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17. f(t) = (t 3)u2(t)-(t-2)u3(t) - Solution: We can write Differential Equations f(t) = (t – 2)u2(t) – u2(t) — (t – 3)u3(t) – u3(t). - Thus, the Laplace transform is -2s Section 6.3 -28 8² Find the inverse Laplace transform of the given function. 8 3! 19. F(s): = (s-2)4 Solution: The inverse Laplace transform is given by t³e2t -38 8² -38 8 Homework Solutions
Transcribed Image Text:17. f(t) = (t 3)u2(t)-(t-2)u3(t) - Solution: We can write Differential Equations f(t) = (t – 2)u2(t) – u2(t) — (t – 3)u3(t) – u3(t). - Thus, the Laplace transform is -2s Section 6.3 -28 8² Find the inverse Laplace transform of the given function. 8 3! 19. F(s): = (s-2)4 Solution: The inverse Laplace transform is given by t³e2t -38 8² -38 8 Homework Solutions
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