problemset5

The trouble here is when t 0 t t 0 dt st 1 st 1 and

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Unformatted text preview: ) L [ t] = e t dt = t − −s 0 −s 2 t 0 0 �∞ √ 1 1 = 0 + e−st √ dt = π /2s3/2 2s 0 t ≤ M Ln−1 2 5. (a) 2 L [et ] � ∞ = et 2 −st dt is indefinite for every real value of s, no 0 matter how large, since t2 − st > 0 for t...
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