Aşsinst – cos8t} =sin4t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Laplace Transforms

Problem 1: (Laplace Transforms of Elementary Punctions)
1. Esinat - įcos8t}
2. t – 2e-t +t* +3}
3.9{8sin 블 cos 피
4. Acos (- kt)}, k is a constant
5. A6 cos² }
j1 if 0<t <1
6. ĄF(t)} where F(t) =
12
if t21
Problem 2: (Dertvatives of Transforms)
1. A(t³ – 3e')²}
2. Ąe-2"cos3t + 5e-2tsin3t}
3. A(t² – 4t + 2)e4}
4. A3t*e-6cost}
5. A4t²sint – 2t°e5t}
Problem 3: (Laplace Transforms of Perlodic Punctions)
1. G(t) = e', 0 st < 3, G(t + 3) = G(t)
Sketch the graph of the function.
52 if 0 <t <1
lo if 1<t<2
Sketch the graph of the function.
2. F(t) =
,F(t + 2) = F(t)
Transcribed Image Text:Problem 1: (Laplace Transforms of Elementary Punctions) 1. Esinat - įcos8t} 2. t – 2e-t +t* +3} 3.9{8sin 블 cos 피 4. Acos (- kt)}, k is a constant 5. A6 cos² } j1 if 0<t <1 6. ĄF(t)} where F(t) = 12 if t21 Problem 2: (Dertvatives of Transforms) 1. A(t³ – 3e')²} 2. Ąe-2"cos3t + 5e-2tsin3t} 3. A(t² – 4t + 2)e4} 4. A3t*e-6cost} 5. A4t²sint – 2t°e5t} Problem 3: (Laplace Transforms of Perlodic Punctions) 1. G(t) = e', 0 st < 3, G(t + 3) = G(t) Sketch the graph of the function. 52 if 0 <t <1 lo if 1<t<2 Sketch the graph of the function. 2. F(t) = ,F(t + 2) = F(t)
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