Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. L £{6t^e¯ 4t - e² cos √6t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. Ste¯ 4t – e² cos √6t} = 2t £ 6t'e - √6t} = ☐ (Type an expression using s as the variable.) b. What is the restriction on s? S> ☐ (Type an integer or a fraction.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform.
Complete parts a and b below.
L
£{6t^e¯ 4t - e² cos √6t}
Click the icon to view the Laplace transform table.
a. Determine the formula for the Laplace transform.
Ste¯ 4t – e² cos √6t} =
2t
£ 6t'e
-
√6t} = ☐ (Type an expression using s as the variable.)
b. What is the restriction on s?
S>
☐ (Type an integer or a fraction.)
Transcribed Image Text:Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. L £{6t^e¯ 4t - e² cos √6t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. Ste¯ 4t – e² cos √6t} = 2t £ 6t'e - √6t} = ☐ (Type an expression using s as the variable.) b. What is the restriction on s? S> ☐ (Type an integer or a fraction.)
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