- 15.15.1: Find the Laplace transforms of these functions: r(t) = tu(t), that ...
- 15.15.2: Find the Laplace transform of f(t) = 15 cos(3t) using the e xponent...
- 15.15.3: Find the Laplace transform of f(t) = (cos (2t) + e4t)u(t).
- 15.15.4: Find the Laplace transform of f(t) = t2 cos 3t u(t
- 15.15.5: Find the Laplace transform of the function h(t) in Fig. 15.6.
- 15.15.6: Determine the Laplace transform of the periodic function in Fig. 15.8.
- 15.15.7: Obtain the initial and the final values of G(s) = 3s3 + 2s + 6 ____...
- 15.15.8: Determine the inverse Laplace transform of F(s) = 5 + 6 _____ s + 4...
- 15.15.9: Find f(t) ifF(s) = 48(s + 2) _________________ (s + 1)(s + 3)(s + 4)
- 15.15.10: Obtain g(t) if G(s) = s3 + 2s + 6 _____________ s(s + 1)2(s + 3)
- 15.15.11: Find g(t) given that G(s) = 20 _________________ (s + 1)(s2 + 4s + 13)
- 15.15.12: Graphically convolve the two functions in Fig. 15.14. To show how p...
- 15.15.13: Given g(t) and f(t) in Fig. 15.20, graphically find y(t) = g(t) * f...
- 15.15.14: Use conv olution to find vo(t) in the circuit of Fig. 15.25(a) when...
- 15.15.15: Solve the follo wing differential equation using the Laplace transf...
- 15.15.16: Use the Laplace transform to solve the integrodifferential equation...
- 15.15.17: Using Fig. 15.29, design a problem to help other students better un...
- 15.15.18: Obtain the Laplace transforms of the functions in Fig. 15.30.
- 15.15.19: Calculate the Laplace transform of the infinite train of unit impul...
- 15.15.20: Using Fig. 15.32, design a problem to help other students better un...
- 15.15.21: Obtain the Laplace transform of the periodic waveform in Fig. 15.33.
- 15.15.22: Find the Laplace transforms of the functions in Fig.15.34.
- 15.15.23: Determine the Laplace transforms of the periodic functions in Fig. ...
- 15.15.24: Design a problem to help other students better understand how to fi...
- 15.15.25: LetF(s) = 18(s + 1) ____________ (s + 2)(s + 3) (a) Use the initial...
- 15.15.26: Determine the initial and final values of f(t), if they exist, give...
- 15.15.27: Determine the inverse Laplace transform of each of the following fu...
- 15.15.28: Design a problem to help other students better understand how to fi...
- 15.15.29: Find the inverse Laplace transform of: F(s) = s2 + 2 ____________ s...
- 15.15.30: Find the inverse Laplace transform of: (a) F1(s) = 6s2 + 8s + 3 ___...
- 15.15.31: Find f(t) for each F(s): (a) 10s _________________ (s + 1)(s + 2)(s...
- 15.15.32: Determine the inverse Laplace transform of each of the following fu...
- 15.15.33: Calculate the inverse Laplace transform of:(a) 6(s 1) _______ s4 1 ...
- 15.15.34: Find the time functions that have the following Laplace transforms:...
- 15.15.35: Obtain f(t) for the following transforms: (a) F(s) = (s + 3)e6s ___...
- 15.15.36: Obtain the inverse Laplace transforms of the following functions: (...
- 15.15.37: Find the inverse Laplace transform of: (a) H(s) = s + 4 _______ s(s...
- 15.15.38: Find f(t) given that: (a) F(s) = s2 + 4s ____________ s2 + 10s + 26...
- 15.15.39: Determine f(t) if: (a) F(s) = 2s3 + 4s2 + 1 _______________________...
- 15.15.40: Show that1 [ 4s2 + 7s + 13 ________________ (s + 2)(s2 + 2s + 5) ] ...
- 15.15.41: Let x(t) and y(t) be as shown in Fig. 15.36. Find z(t) = x(t) * y(t).
- 15.15.42: Design a problem to help other students better understand how to co...
- 15.15.43: Find y(t) = x(t) * h(t) for each paired x(t) and h(t) in Fig. 15.37.
- 15.15.44: Obtain the convolution of the pairs of signals in Fig.15.38.
- 15.15.45: Given h(t) = 4e2tu(t) and x(t) = (t) 2e2tu(t), find y(t) = x(t) * h...
- 15.15.46: Given the following functions x(t) = 2(t), y(t) = 4u(t), z(t) = e2t...
- 15.15.47: A system has the transfer function H(s) = 6s ____________ (s + 1)(s...
- 15.15.48: Find f(t) using convolution given that: (a) F(s) = 4 ____________ (...
- 15.15.49: Use the convolution integral to find: (a) t * eatu(t) (b) cos(t) * ...
- 15.15.50: Use the Laplace transform to solve the differential equation d2v(t)...
- 15.15.51: Given that v(0) = 5 and dv(0)dt = 10, solve d2v ___ dt2 + 5 dv ___ ...
- 15.15.52: Use the Laplace transform to find i(t) for t > 0 if d2i ___ dt2 + 3...
- 15.15.53: Use Laplace transforms to solve for x(t) inx(t) = cos t + 0 t et x()d
- 15.15.54: Design a problem to help other students better understand solving s...
- 15.15.55: Solve for y(t) in the following differential equation if the initia...
- 15.15.56: Solve for v(t) in the integrodifferential equation 12 dv ___ dt + 3...
- 15.15.57: Design a problem to help other students better understand solving i...
- 15.15.58: Given that dv ___ dt + 2v + 5 0 t v()d = 4u(t) with v(0) = 1, deter...
- 15.15.59: Solve the integrodifferential equation dy ___ dt + 4y + 3 0 t y d =...
- 15.15.60: Solve the following integrodifferential equation 2 dx ___ dt + 5x +...
- 15.15.61: Solve the following differential equations subject to the specified...

# Solutions for Chapter 15: Introduction to the Laplace Transform

## Full solutions for Fundamentals of Electric Circuits | 6th Edition

ISBN: 9780078028229

Solutions for Chapter 15: Introduction to the Laplace Transform

Get Full SolutionsChapter 15: Introduction to the Laplace Transform includes 61 full step-by-step solutions. Fundamentals of Electric Circuits was written by and is associated to the ISBN: 9780078028229. This expansive textbook survival guide covers the following chapters and their solutions. Since 61 problems in chapter 15: Introduction to the Laplace Transform have been answered, more than 42300 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Fundamentals of Electric Circuits, edition: 6.