6.2 Transforms of derivatives and ODEs: Problem
1
(20 points)
Consider the following initial value problem:
x" - 8x' - 9x = sin(6t), x(0) = -1, x'(0) = -2.
Using X for the Laplace transform of x(t), i.e., X = \mathcal{L}\{x(t)\}, find the equation you get by taking the
Laplace transform of the differential equation and solve for
X(s) = help (formulas)