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Chapter 7

Chapter 7. The Laplace Transform. FIGURE 7.1.1 Piecewise continuous function. FIGURE 7.1.2 f is of exponential order. FIGURE 7.1.3 Three functions of exponential order. FIGURE 7.1.4 e t is not of exponential order. FIGURE 7.1.5 Piecewise continuous function in Example 6.

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Chapter 7

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  1. Chapter 7 The Laplace Transform

  2. FIGURE 7.1.1Piecewise continuous function

  3. FIGURE 7.1.2f is of exponential order

  4. FIGURE 7.1.3Three functions of exponential order

  5. FIGURE 7.1.4et is not of exponential order

  6. FIGURE 7.1.5 Piecewise continuous function in Example 6

  7. FIGURE 7.1.6 Graph for Problem 7

  8. FIGURE 7.1.7 Graph for Problem 8

  9. FIGURE 7.1.8 Graph for Problem 9

  10. FIGURE 7.1.9Graph for Problem 10

  11. FIGURE 7.2.1 Steps in solving an IVP by the Laplace transform

  12. FIGURE 7.3.1Shift on s-axis

  13. FIGURE 7.3.2 Graph of unit step function

  14. FIGURE 7.3.3Function is f(t) = (2t 3 ) µ(t 1)

  15. FIGURE 7.3.4Function is f (t) = 2 3µ(t 2) + µ(t 3)

  16. FIGURE 7.3.5 Function f in Example 5

  17. FIGURE 7.3.6 Shift on t-axis

  18. FIGURE 7.3.7 Graph of function (18) in Example 9

  19. FIGURE 7.3.8Embedded beam with variable load in Example 10

  20. FIGURE 7.3.9 Boxcar function

  21. FIGURE 7.3.10Series circuit in Problem 35

  22. FIGURE 7.3.11 Graph for Problems 49–54

  23. FIGURE 7.3.12 Graph for Problem 49

  24. FIGURE 7.3.13Graph for Problem 50

  25. FIGURE 7.3.14 Graph for Problem 51

  26. FIGURE 7.3.15Graph for Problem 52

  27. FIGURE 7.3.16Graph for Problem 53

  28. FIGURE 7.3.17 Graph for Problem 54

  29. FIGURE 7.3.18Graph for Problem 61

  30. FIGURE 7.3.19 Graph for Problem 62

  31. FIGURE 7.3.20E(t) in Problem 73

  32. FIGURE 7.3.21E(t) in Problem 74

  33. FIGURE 7.3.22E(t) in Problem 75

  34. FIGURE 7.3.23E(t) in Problem 76

  35. FIGURE 7.4.1Changing order of integration from t first to first

  36. FIGURE 7.4.2LRC-series circuit

  37. FIGURE 7.4.3 Graph of current i(t) in Example 7

  38. FIGURE 7.4.4 Square wave in Example 8

  39. FIGURE 7.4.5 Graph of current i(t) in Example 9

  40. FIGURE 7.4.6Graph for Problem 53

  41. FIGURE 7.4.7 Graph for Problem 54

  42. FIGURE 7.4.8 Graph for Problem 55

  43. FIGURE 7.4.9 Graph for Problem 56

  44. FIGURE 7.4.10 Graph for Problem 57

  45. FIGURE 7.4.11 Graph for Problem 58

  46. FIGURE 7.5.1 A golf club applies a force of large magnitude on the ball for a very short period of time

  47. FIGURE 7.5.2 Unit impulse

  48. FIGURE 7.5.3 Mass is struck at t = 2in part (a) of Example 1

  49. FIGURE 7.5.4No motion until mass is struck at t = 2in part (b) of Example 1

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