12.6 • LAPLACE TRANSFORMS OF DERIVATIVES AND INTEGRALS 549
- Find .C(2oos4t).
9. Find .C ( e^2 ' -^3 ). - Find C (6e- t +3sin 5t).
- Find C ((t + 1)^4 ).
- Find C(oosh 2t).
For Exercises 13-18, use t he linearity of t he inverse Laplace transform and Table
12.3.
- Find c-^1 (s 2! 25 ).
1 4. Find c-^1 (~ - ~).
- Find c-^1 (1 + : 4 -
83
).
1 6. Find c-^1 c:::).
1 7. Find c-^1 (s2
6
~4).
- Find .c-
1
c ~:: ~)).