1-10 Find the Laplace transform of each function below. 1. f(t)=t-t+51 +2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1-10 Find the Laplace transform of each function below.
1. f(t)=t-t+ 5t+2
2. f(t)=-2cos 6t + 5sin 6t
3. f(t)=3e-4e²¹ +2e¹¹
4. f(t)= 7t+ 6e' - 2e¹-10
5. (a) f(t)=sin 2t sin 3t
(b) f(t) = sin 2t cos 2t
6. (a) f(t) = cos 5t
(b) f(t) = t cos² 5t
7. (a) f(t)= teª cos bt,
(b) f(t)= te sin bt
8. f(t) = t³ cos 2t
9. (a) f(t) = cos (at + B)
(b) f(t) = sin(at+ß)
3
10. f(t) = sin³2t
Hint: sin³ a = sin a
4
1
4
- sin 3a
Transcribed Image Text:1-10 Find the Laplace transform of each function below. 1. f(t)=t-t+ 5t+2 2. f(t)=-2cos 6t + 5sin 6t 3. f(t)=3e-4e²¹ +2e¹¹ 4. f(t)= 7t+ 6e' - 2e¹-10 5. (a) f(t)=sin 2t sin 3t (b) f(t) = sin 2t cos 2t 6. (a) f(t) = cos 5t (b) f(t) = t cos² 5t 7. (a) f(t)= teª cos bt, (b) f(t)= te sin bt 8. f(t) = t³ cos 2t 9. (a) f(t) = cos (at + B) (b) f(t) = sin(at+ß) 3 10. f(t) = sin³2t Hint: sin³ a = sin a 4 1 4 - sin 3a
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