Find the Laplace transforms of the following functions:
Find the Laplace transforms of the following functions: a) F(s) = (25-1)(2s+1) (4s2–4s+1)2 S+1 bb F(s)...
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
Find the inverse Laplace transforms of (a) (b) (c) s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) = (5-7)2 s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) =...
Determine £-1 {F) 2s2+5 s2 F(s) + sF(s)-12F(S)-2 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms Determine £-1 {F} 4s +4 s2 +10s +25 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms
find L^-1 {4s/s^2 + 2s -3} 4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Homework Set 5 f(t) F(S) Section 4.1: Apply the definition to directly find the Laplace transforms of the given functions. (s > 0) 1 (s > 0) S- 1. Kt) = 12 2. f = 23t+1 Use transforms from the Table (op right) to find the Laplace transforms of the given functions. t" ( n20) (s > 0) r(a + 1) 1a (a > -1) (s > 0) 5+1 3. f(t) = VE +8t 4. f(t) = sin(2tcos(2t) Use the...
2. Determine the Laplace transforms of the periodic functions in Fig. An 1 2 3 4 0 246 3. Determine the inverse Laplace transform of each of the following functions: (a) F(s)4+ (b) G(s) 3s+ H)+3) (d) J(s) = (s +2)2(s + 4) Find the inverse Laplace transform of: s s+1 s+4 4 12 4. s+13 s(S +4s
Q3 Find the inverse Laplace transform for the following expression [20] i. F(s) 10 4s +11 s2+118+10 65° +105+2 $3+352 +2s ii. F(S) 10
Find the Laplace transforms of the following functions: a) f(t) = sin(at + b) Using the integral of the Laplace transform b) f(t) = cos(t) + sin(t/2) You can directly use table 5.1 Tableau 5.1 Transformées de Laplace les plus couramment utilisées f(t)= £. {F()} F(s)= £{f(t)} f(t)=1 F(s) = 2 f(t)=1 F(s) == 2 3 Sl)=12 F(s) n! 4 St=1" F(s)=- 5 () at F(s)- S-a n! 6 S()=1"ar F($)= (s-a)"+1 a 7 s(t)= sin(at) F(s) s? +a? S...
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
1) Laplace transforms/Transfer functions Use Laplace transform tables!!!! 1.1: Find the Laplace transform of - 4t) f(t) = lc + e *).u(t) (simplify into one ratio) 1.2.. Find the poles and zeros of the following functions. Indicate any repearted poles and complex conjugate poles. Expand the transforms using partial fraction expansion. 20 1.2.1: F(s) = (s + 3).(52 + 8 + 25) 1.2.2: 252 + 18s + 12 F(s) =- 54 + 9.5? + 34.5² + 90-s + 100