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Recall that cos(bt) = ;(ebt + e-tbt) and sin(bt) =(eit – e-ibt). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f(t) = eat sin(bt) NOTE: Your answer must be fully simplified. It cannot contain i. L{f(t)}

Recall that cos(bt) = ;(ebt + e-tbt) and sin(bt) =(eit – e-ibt). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f(t) = eat sin(bt) NOTE: Your answer must be fully simplified. It cannot contain i. L{f(t)}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 Recall that cos(bt) = , 1 (etb : +e-i6t) and sin(bt) (eibt – e-ibe). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f (t) = eat sin(bt) NOTE: Your answer must be fully simplified. It cannot contain i. L{f(t)}:
Transcribed Image Text:1 Recall that cos(bt) = , 1 (etb : +e-i6t) and sin(bt) (eibt – e-ibe). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f (t) = eat sin(bt) NOTE: Your answer must be fully simplified. It cannot contain i. L{f(t)}:
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