Question

Se appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ−1 4s − 6 s2 + 9

Answer 1

We assume you want to find the inverse transform of (4s-6)/(s^2+9). A table of transforms will tell you that

4(s/(s^2+9)) -2(3/(s^2+9)) is the transform of 4cos(3t) -2sin(3t)