+ 44 7-8 Use the shifting theorems to compute. the inverse Laplace transforms L F (S)...
1. (a) Using the Tables of Laplace transforms, along with the operational theorems, de- termine the inverse Laplace transform of 3s 7 82 -2s + 10 (b) Hence determine the inverse Laplace transform of 3s +7 -2s S2-2s10 1. (a) Using the Tables of Laplace transforms, along with the operational theorems, de- termine the inverse Laplace transform of 3s 7 82 -2s + 10 (b) Hence determine the inverse Laplace transform of 3s +7 -2s S2-2s10
1. (a) Using the Tables of Laplace transforms, along with the operational theorems, de- termine the inverse Laplace transform of s +3 82 6s 16 (b) Hence deduce the inverse Laplace transform of 83 -6s e s2 6s 16 1. (a) Using the Tables of Laplace transforms, along with the operational theorems, de- termine the inverse Laplace transform of s +3 82 6s 16 (b) Hence deduce the inverse Laplace transform of 83 -6s e s2 6s 16
F 1 One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as L (t) = (t)nf(t), where f= £-1{F}. Use this equation to compute £-1{F}. dsh 7 F(s) = arctan S Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. -l{F}=
1 +s Find the inverse Laplace transforms of the following: a. F(s) = a (s+2)2 b. F(s) = -25- Hint: Complete the square in denominator 2s -1 s2-2s +10
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as d'F L }(t) = ( – t)"f(t), where f= £•'{F}. Use this equation to compute L-'{F}. ds 2 S +64 F(s) = In s²+81 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 1 =
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as 2-1 d'F }(t)= (-t)"f(t), where f= 2-{F}. Use this equation to compute 2-1{F} ds 25 F(s) = arctan S Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
6. For each of the following Laplace transforms F(s), determine the inverse Laplace transform f(t). (a) f(3) = 6+2*&+4) (b) F(s) = (65) (c) F(s) = 12+2
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as dF (t) = (– t)"f(t), where f= 2-T{F}. Use this equation to compute 2-1{F}. ds? 19 F(s) = arctan S Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. L-'{F}=0
F One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as L-1 >(t)=(- t)nf(t), wheref=1-1{F}. Use this equation to compute L-1{F}. ds 22 F(s)= arctan Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 1-'{F}=N
Id"F One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as 2-1 (t) = (-t)"f(t), where f= 2-1{F}. Use this equation to compute 2 - '{F} dsh F(s) = arctan on to Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.