Laplace Transforms Homework Solutions, Assignments of Electrical and Electronics Engineering

Download Laplace Transforms Homework Solutions and more Assignments Electrical and Electronics Engineering in PDF only on Docsity! 2260 F 08 HOMEWORK #5 1. Find the Laplace transforms of the following waveforms: a) € cos(ωt)u t − 1 ω       , ω > 0 b) € d dt e−at sin(ωt)[ ] c) € f (t) = ate−at d) € te−atdt 0 t∫ 2. Show that the following identity is valid for a > 0: € L{ f (at)} = 1 a F s a       3. Find the inverse Laplace transform for each of the following expressions: a) € F(s) = 4s+11 s2 + 3s+ 2 b) € F(s) = 2s− 26 s2 +10s+169 c) € F(s) = − 3s 2 + 3 s4 d) € F(s) = 9s 2 + 35s+ 49 (s+ 2)(s2 + 2s+ 5) 4. Find the inverse Laplace transform of € 1 s+ a( )n .