(a) We have to find .
Now, we know that,
According to first shifting property,
Hence the solution is
=
(b) Here, 's' must be greater than (-6).
Use the Laplace transform table and the linearity of the Laplace transform to determine the following...
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. 2<5t2 e-61 – e 2t cos/5t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. P{51 e - 6 - 2 cos 75t} = (Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. se{2+² e - 5t - e4 COS V3t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. L{2t2 e - 5t – e 4 cos 13t} = (Type an expression using s as the variable.) b. What is the restriction on s? S> (Type an integer or a fraction.)
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. ${5ta e -8t – e 4t cos Võt} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. ${5te V6t} = (Type an expression using s as the variable.) - 81 - - e4 cos b. What is the restriction on s? S> (Type an integer or a fraction.)
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. L{4t² e - 3 8t - e cos V7t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. ${412 e - 3t 8t cos V7t} = (Type an expression using s as the variable.) - e b. What is the restriction on s? S> (Type an integer or a...
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. 2{6te-3t- e7 cos V2t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 2 {6te - 3 7 cos/2t} = (Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{319-61 -5l cos 16t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. {{31° -6 - est cos 76t) -(Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{31-6test cos 16t} Click the icon to view the Laplace transform table. a Determine the formula for the Laplace transform <{31'.- 61 - 6 cos 761)-(Type an expression using 8 as the variable.) b. What is the restriction on s? >(Type an integer or a fraction.) S>
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{e 3t sin 2t- + 64} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. {{est sin 2t-to + e$} -(Type an expression using s as the variable.) b. What is the restriction on s? S> (Type an integer or a fraction.)
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{4tº e -88 – est cos 3t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 244te -8t - 25+cos 13t} = (Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{6t4 e - 4 - 2* cos V6t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 2 {6t4 e -44 - 221 cos V6t} = (Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>