Use the transforms in the table below to find the inverse Laplace transform of the following...
Use the transforms in the table below to find the Laplace transform of the following function. A preliminary integration by parts may be necessary. f(t) = cos (13) Click the icon to view the table of Laplace transforms. The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.) It is defined for for s> 0. (Type an integer or a fraction.)
Use partial fractions to find the inverse Laplace transform of the following function. Fis)--3-9s2 Click the icon to view the table of Laplace transforms. (Type an expression using t as the variable.)
4-15) Determine the inverse Laplace transform of the function below. e-49(-5+4) (s + 4)(s + 3) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. The inverse Laplace transform is e 12-47e7-8e4) oct - 4). (Type an expression using t as the variable.)
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as 2-1 (t) = ( - t)"f(t), wheref=-{F}. Use this equation to compute - {F}. 13 F(s) = arctan S Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
Determine the inverse Laplace transform of the function. 3s-72/5s^2-40s+160 Determine the inverse Laplace transform of the function below. 3s - 72 5s2 - 40s + 160 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. -1 35 - 72 15s2 - 40s + 160
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as L d'F $(t) = (– t)"f(t), where f= !='{F}. Use this equation to compute &" '{F}. dan 6 F(s) = arctan S Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. &-'{F}=
Determine the inverse Laplace transform of the function below. - 3s Se 2 S + 10s + 50 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 3s 3 se 2 + 10s + 50 (Use parentheses to clearly denote the argument of each function.)
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Completo parts a and b below. *{ 5-71-9 cos 6t) Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. {{5e-7-ecos 16t} (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. £{e 9t sin 8t - +++ et} Click the icon to view the Laplace transform table a. Determine the formula for the Laplace transform. 2{e et sin 8t - +4 + t) =(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. 23tºe os 13t} -9 - 8 COS Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. L{3tºe - 9t e8t cos 13t} = (Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>