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4. Use the theorem of derivatives of Laplace transforms to: (a) show that L[teat] = n₁[tn-1 eat] (b) show that L[t cosh kt] =(2²+2 (s²-k²)²

4. Use the theorem of derivatives of Laplace transforms to: (a) show that L[teat] = n₁[tn-1 eat] (b) show that L[t cosh kt] =(2²+2 (s²-k²)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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4. Use the theorem of derivatives of Laplace transforms to: (a) show that L[teat] = _n_L[tn-1 eat] (b) show that L[t cosh kt] = s²+k² (s²-k²)²
Transcribed Image Text:4. Use the theorem of derivatives of Laplace transforms to: (a) show that L[teat] = _n_L[tn-1 eat] (b) show that L[t cosh kt] = s²+k² (s²-k²)²
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