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 New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: LAPLACE TRANSFORMS 1023 29.3.22 29.3.23 29.3.24 29.3.25 29.3.26 29.3.27 29.3.28 29.3.29 29.3.30 29.3.31 29.3.32 29.3.33 29.3.34 29.3.35 29.3.36 29.3.37 29.3.38 29.3.39 29.3.44 f (8) (s2+a2) S2 (s2+ a2) s2-- a2 (s2 + a2) S -- (a2 # b2) S (s2+a2) (s2+ b2) s+a (s +a) + b2 3a2 s3+a3 4a3 s4+4a4 S s4+4a4 1 s4-a4 - S - s4-a4 8a3s2 ( ?+a2) I - &G -.\/\$ + 6 3 s-a2 * s+a2 1 6 (s - a2) F (0 t - sin at 2a 1 - (sin at +at cos at) 2a t cos at cos at-cos bt b2-a2 1 e-at sin bt b e-at cos bt 6 sin '-) 2 sin at cosh at - cos at sinh at 1 - sin at sinh at 2a2 1 - (sinh at -sin at) 2a3 1 - (cosh at -cos at) 2a2 (l+a2t2) sin at-at cos at 22 The page scan image above, and the text in the text box above, are contributions of the National Institute of Standards and Technology that are not subject to copyright in the United States.