Question

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)

          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)

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 = ℒ{x(t)}, find the equation you get by taking the
Laplace transform of the differential equation and solve for
X(s) = help (formulas)

Added by James M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/12/2023

Step 1

The given initial value problem is: x''(t) - 8x'(t) - 9x(t) = sin(6t), x(0) = -1, x'(0) = -2 Let X(s) be the Laplace transform of x(t), i.e., X(s) = L{x(t)}. Show more…

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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=L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for x(s)= ◻ help (formulas) 6.2 Transforms of derivatives and ODEs: Problem - (20 points) Consider the following initial value problem x-8x'-9x=sin6tx0=-1,x'0=-2 Using X for.the Laplace transform of (t), i.e., X={c(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s)= help(formulas)