If F, (S) = and F2 (s)find the inverse Laplace transform of F(s) = F1 (S) F2 (S).s+2s+3'Note: the letter 's' does not clearly appear on the equation.A.[e-2t + e-3*]u(t)[e2t – e3t]u(t)C.[e-2t – e-3*]u(t)D.[e2t – e-3*]u(t)B.

ELECTRICAL NETWORK: When addressing a circuit problem or constructing a balanced circuit, the word…

Answered: F1 (s) = and F2 (S) = find the inverse…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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1) Solve the given differential equation using Laplace transform. x" - 5x' + 6x = 6t - – 4, x(0) = 1, x'(0) = 2 2) A system is described by the following differential equation: d³y d²y dy d³x d²x dx +3 +5 +y= +4 +6 + 8x dt3 dt² dt dt3 dt² dt Find the expression for the transfer function of the system Y(s)/X(s). 3) Obtain the transfer function (s)/V (s) in the network in the network of Fig. 1. 192 ΙΩ V(s) L₁(s) 252 ei S L₂(S) Figure 1 4) Obtain the transfer function Eo(s)/E₁ (s) in the network of Figure 2. R₁ www elle R₂ 525 Figure 2 eo
The Laplace Transform of (t – 3)u(t – 4) is: Select one: O a. e-45 (s+1) s2 O b. -4s e 4s e s2 Oc. -4s e s2-s Od. -4s e s2 +s -4S -35 e indows Le, أنتs2 إلى الإعدادت s2
I. II. MISCELLANEOUS PROBLEMS 8 Determine the Laplace transform of each of the following functions. 1. 3t8-4e-2cost 2. cos23t-4sin²6t 3. e-2t cosh4t-t²cosh5t. 4. e3 cos2t +8sin2tcos2t-4 5. (t²-3e¹)² 6. (sin3t+cos3t)² 7. (est-2sin2t + 2cos2t)² 8. (t-sin4t)³ 9. t²e4cost + e²t cos²ts 10. 3cos3tcos8t - 4sin4tcos8t + sin5tsin9t Find the Inverse Laplace transform of each of the following functions. 2 14 5 S7 4s3 6s 1. + 2. 3. 4. 5. 3 (s-4)6 18 (s+3)²-9 2s (s-4)²-5 3 5² +65 +7 3. y" - 5y'-7y= 10; y(0) = 0, y'(0) = 0 4. y" - 3y' = et + 1; y(0) = 0, y'(0) = 0 5. y'-4y' - 3y = cost; y(0) = 0, y'(0) = 0 6. y'- 3y = cosht; y(0) = 0 7. y" -9y' = e2t; y(0) = y'(0) = 0 8. y"-3y' = e-t; y(1) = y'(1) = 0 9. (x' (t) = 2x-3y. {y' (t) = x - 4y 10. (z' (t) +9y = 0 ly' (t) + z = 2t ; x(0) = 1; y(0) = 5 6. ; y(0) = 4; z(0) = 3 7. 8. 9. s²+2s-5 s(S-2)(s+1) III. Solve each of the following initial value problems using Laplace transform. 1. y' + 4y = 10; y(0) = 3 2. y' - 5y = e³t-9; y(0) = 0 2S-5 (s²-s)² s²+2s…
F2 3 # Problem 2. Block Diagram Calculate the Laplace transform and then draw the block diagram with ₁ as output for the following equation: F3 54 4 F4 DII Q Search % 5 *₁ + 5x1 = 2x₂ *2 + 4x2 = 2x1 F5 A 6 F6 x₁ (0) = x₁(0) = 0 x₂ (0) = x₂(0) = 0 & 7 PrtScn F8 * 8 Home F9 9 End F10 PgUp,
The inverse z-transform of F(z) is: 10z2 -42z z? –10z+21 F(z) = Select one: O a.f(k) = (3 × 3k) – (7 × 7') - O b. f(k) = (3 × 7k) + (7 × 3k) O c.f(k) = (3 × 3k) + (7 × 7k) O d. f(k) = (7 × 7k) – (3 × 3k)
Can you write the operations with explanations? The signal shown in Figure 3(b) is the input voltage vi(t) as shown in Figure 3(a).is applied to the circuit. Laplace transform of the output voltage value v0(t) in the circuit in Figure 3(a)find using?
PLO-1 CLO-1 C-2 Q5. Find the Laplace Transform of the following: (a) y(t) = e-³t Cos 4t (b) y(t) = t²eal- at Cosh at (e) y(t) = @ (d) y(t) = 10 + 5t + t²_4ť³
The Laplace transform of the following function is: f(t) = 8u(t-1) + 2u(t − 5) – u(t) - Select one: a. F(s) = §els b. O ○ c. F(s) = F(s) = O d. F(s) = = els es 90/0000100 e - - + / e-8 2 - e+e- ³ + 3/2e - 1 8² e + ²/e-58-1 8 S
The inverse z-transform of F(z) is: F(z) Select one: O a. f(k) = 2k O b. f(k) = 2(k – 1)² O c. f(k) = 2 × 2k d. f(k) = 2 x 2k-1 Clear my choice
Problem o3 Find the Laplace transform of f(t) = e. Poblem 04 Find the Laplace transform of f(t)-e-5tsin3t Problem 05 Find the Laplace transform of the following 1- L{(t? + 4)e²t - e cos t} 2 2- L{t +4} s3 4 = =+ 3- Given L{et} 4- L{tsin bt} 5- f(t) = tet cos 4t
Consider the series RLC circuit in Figure Q4. The initial current is 4A and the initial voltage across the capacitor is 4V. Here L= 1H, R=402 and C=1/3 F. The input is x(t) = 5u(t). x(t) R ww L i(t) I Figure Q4 Using Laplace Transform answer the following questions: i. Find the zero-input, zero-state currents and total current, izi(t), izs (t) and i(t).
great but i have a few questions, first on what basis can i use the laplace transform and what is the general formula to use it and what are the specifics of using it, 2nd how did the equation flip this way? can i use inverse laplace transform on a calculator the casio black one? so i can get the formula? any extra important details would be appreciated even if small as in the exam not the exact same question will be asked. thank you!

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F1 (s) = and F2 (S) = find the inverse Laplace transform of F(s) = F1 (s) F s+2 s+3' lote: the letter 's' does not clearly appear on the equation. [e-2t + e-3*]u(t) [e2t – e3t]u(t) [e-2t – e-3*]u(t)

F1 (s) = and F2 (S) = find the inverse Laplace transform of F(s) = F1 (s) F s+2 s+3' lote: the letter 's' does not clearly appear on the equation. [e-2t + e-3]u(t) [e2t – e3t]u(t) [e-2t – e-3]u(t)