2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the fo...
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}=
월국 d'F One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as L (t) = ( - t)nf(t), where f = f - {F}. Use this ..n ds equation to compute £-1{F}. 2 F(S) = arctan S L-'{F}=0
f(t) F(S) (s > 0) S (s > 0) n! t" ( no) (s > 0) 5+1 T(a + 1) 1a (a > -1) (s > 0) $4+1 (s > 0) S-a 1. Let f(t) be a function on [0,-). Find the Laplace transform using the definition of the following functions: a. X(t) = 7t2 b. flt) 13t+18 2. Use the table to thexight to find the Laplace transform of the following function. a. f(t)=t-4e2t b. f(t) = (5 +t)2...
9s 11 (1 pt) Find the inverse Laplace transform f(t) = L=1 {F(s)}| of the function F(s) s2 2s5 9s 11 f(t)= L' help (formulas) $2-2S+5
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
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as L-13 ("F ds" (t) = (– t)nf(t), where f=L-1{F}. Use this equation to compute L-1{F}. 14 F(s) = arctan S L-1{F}=0
One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as 1-1 compute -1{F} d'F }(t) = ( - )" f(t), where f= 2-{F}. Use this equation to ds" F(s) = arctan 2 computer +{F} F(s) = arctan S
2. Let t if 5 < t < 10 f(t) = -{ e3t if t > 10 Use the Heaviside step function to evaluate the Laplace of f. (4 pts.) 3. Find the inverse Laplace transform of the following functions: (i) F(s) = 4s +5 s(s2 + 4s + 5) (3 pts.) -35 (ii) G(s) = 4s + 5 s(s2 + 4s + 5) е (you may use part (i)) (2 pts.)
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.
- 2s e Find the inverse Laplace transform f(t) of F(s) = Then sketch the graph of f. S +2 Click the icon to view a short table of Laplace transforms. f(t) Choose the correct graph below. OA. B. Af(t) C. Af(t) Af(t) D. Af(t) 4u 1- 2 N. N- 2