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solns4.nb 1 Chapter 4 (Laplace transforms): Solutions

Chapter 4 ( laplace transforms): Solutions (The table of laplace transforms is used throughout.) Solution (a) HsinH4 tLcos H2 tLL= ikjj1 2sinH4 tLy{zz=1 2 HsinH4 tLL=1 24 s2+16=2 s2+16. Solution (b) Hcosh2 HtL L= ikjjjjikjj1 2 H t- -tLy{zz2y{zzzz= ikjjjj 2 t 4+1 2+ -2 t 4y{zzzz=1 4 1 s-2+1 2 1 s+1 4 1 s+2=s2-2 sHs2-4L. Solution (c) Hcos Ha tLsinh Ha tLL= ikjj1 2 H a t- -a tL cos Ha tLy{zz=1 2 H a tcos Ha tL- -a tcos Ha tLL=1 2ikjjjjs-a Hs-aL2+a2-s+a Hs+aL2+a2y{zzzz=a s2-2 a3 s4+4 a4.}}}}}}

Chapter 4 (Laplace transforms): Solutions (The table of Laplace transforms is used throughout.) Solution 4.1(a) ¸ HsinH4tL cos H2tLL = ¸ i k jj 1 •••• 2 sinH4tLy zz = 1

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  Solutions, Chapter, Chapter 4, Transform, Laplace transforms, Laplace

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Transcription of solns4.nb 1 Chapter 4 (Laplace transforms): Solutions

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