1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

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12.6 • LAPLACE TRANSFORMS OF DERIVATIVES AND INTEGRALS 549


  1. Find .C(2oos4t).
    9. Find .C ( e^2 ' -^3 ).

  2. Find C (6e- t +3sin 5t).

  3. Find C ((t + 1)^4 ).

  4. Find C(oosh 2t).


For Exercises 13-18, use t he linearity of t he inverse Laplace transform and Table
12.3.



  1. Find c-^1 (s 2! 25 ).


1 4. Find c-^1 (~ - ~).


  1. Find c-^1 (1 + : 4 -


83
).

1 6. Find c-^1 c:::).


1 7. Find c-^1 (s2


6
~4).


  1. Find .c-
    1
    c ~:: ~)).


12.6 Laplace Transforms of Derivatives and Integrals

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