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In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. L-1{ 41 41 + + - (s+3)5} s-3 9-1{3+1}

In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. L-1{ 41 41 + + - (s+3)5} s-3 9-1{3+1}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Question
f(t) 1. 1 2. t 3. tn 4. sin kt 5. cos kt 6. sin²kt 7. cos²kt 8. eat 9. t. eat 10. th. eat 11. eat_ebt a-b 12. aet-bebt a-b Given Laplace Transforms L {f(t)} 1 S 3 F(s) n! s+1, n a positive integer k s²+k²2 = s²+k² 2k² s(s²+4k²) s²+2k² s(s²+4k²) s-a (s-a)² n! (s-a)n+1, n a positive integer (s-a)(s-b) (s-a)(s-b)
Transcribed Image Text:f(t) 1. 1 2. t 3. tn 4. sin kt 5. cos kt 6. sin²kt 7. cos²kt 8. eat 9. t. eat 10. th. eat 11. eat_ebt a-b 12. aet-bebt a-b Given Laplace Transforms L {f(t)} 1 S 3 F(s) n! s+1, n a positive integer k s²+k²2 = s²+k² 2k² s(s²+4k²) s²+2k² s(s²+4k²) s-a (s-a)² n! (s-a)n+1, n a positive integer (s-a)(s-b) (s-a)(s-b)
write the Laplace and Inverse Laplace Transforms in their most basic forms before evaluating them. In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. 6 L-1 { 1 + 1 + 3/2²/23 s-3 (s+3)5 3s+2 ~
Transcribed Image Text:write the Laplace and Inverse Laplace Transforms in their most basic forms before evaluating them. In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. 6 L-1 { 1 + 1 + 3/2²/23 s-3 (s+3)5 3s+2 ~
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