Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find L{f(t)}. f(t) = 4t²-5 sin (2 t) £{f(t)} =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find L{f(t)}•
f(t) = 4t²-5 sin (2 t)
£{f(t)} =
4/(S-2) - 10/t³
12/s² 10/(s² - 4)
4 exp(-s)/s³-5s/(s² + 2)
8/s³ - 10/(s² + 4)
2 exp(2s)/s³-5s/(s² - 2)
4/s²5s/(s² + 4)
0
No Solution
Transcribed Image Text:Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find L{f(t)}• f(t) = 4t²-5 sin (2 t) £{f(t)} = 4/(S-2) - 10/t³ 12/s² 10/(s² - 4) 4 exp(-s)/s³-5s/(s² + 2) 8/s³ - 10/(s² + 4) 2 exp(2s)/s³-5s/(s² - 2) 4/s²5s/(s² + 4) 0 No Solution
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