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1. Find the Laplace transforms of cosat – cos bt (a) t°sinat (b)te“ sin3t (c) +tsinat t sint sin5t (e) 1-cost cos 2t – cos3t -+tsint t t t 2. Use the Laplace transform of the second derivative to derive the transformation a (a) L{sinhat}: (b)L{coshat}=- s² – a² s² – a² 3. Evaluate (a) ſte* sint dt cosat – cos bt |dt (e)je e* sint dt -3t t ře*sin²t dt dt (Oi cos6t – cos 4t t -2t 'sinht (d) S² dt t 4. Find the Laplace transform from the following diagram 1

1. Find the Laplace transforms of cosat – cos bt (a) t°sinat (b)te“ sin3t (c) +tsinat t sint sin5t (e) 1-cost cos 2t – cos3t -+tsint t t t 2. Use the Laplace transform of the second derivative to derive the transformation a (a) L{sinhat}: (b)L{coshat}=- s² – a² s² – a² 3. Evaluate (a) ſte* sint dt cosat – cos bt |dt (e)je e* sint dt -3t t ře*sin²t dt dt (Oi cos6t – cos 4t t -2t 'sinht (d) S² dt t 4. Find the Laplace transform from the following diagram 1

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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I need the questions 2 and 3 . If you know all the questions then solve I will give 3 upvotes

1. Find the Laplace transforms of (a) t°sinat (b)te sin3t (c) cosat - cos bt (d) +tsinat t 1- cost () t sint sin5t cos2t – cos3t +tsint t t 2. Use the Laplace transform of the second derivative to derive the transformation a (a) L{sinhat}=- (b)L{coshat}=- s² – a² s? -a? 3. Evaluate cosat – cos bt (a) [te* sint dt |dt (c)jesi dt t řetsin?t (d) (e)je*sinht dt (oi cos6t – cos 4t t dt dt t 4. Find the Laplace transform from the following diagram -1F 2
Transcribed Image Text:1. Find the Laplace transforms of (a) t°sinat (b)te sin3t (c) cosat - cos bt (d) +tsinat t 1- cost () t sint sin5t cos2t – cos3t +tsint t t 2. Use the Laplace transform of the second derivative to derive the transformation a (a) L{sinhat}=- (b)L{coshat}=- s² – a² s? -a? 3. Evaluate cosat – cos bt (a) [te* sint dt |dt (c)jesi dt t řetsin?t (d) (e)je*sinht dt (oi cos6t – cos 4t t dt dt t 4. Find the Laplace transform from the following diagram -1F 2
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