Consider the following integral equation, so called because the unknown dependent variable, x, appears within an integral: • t So sin(5(t − w)) x(w) dw = 9t². This equation is defined for t > 0. Use convolution and Laplace transforms to find the Laplace transform of the solution. X(s) = L {x(t)} = = Obtain the solution x(t). help (formulas) x(t) = = help (formulas) Book: Section 6.3 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
icon
Related questions
Question
Consider the following integral equation, so called because the unknown dependent
variable, x, appears within an integral:
• t
So
sin(5(t − w)) x(w) dw
=
9t².
This equation is defined for t > 0.
Use convolution and Laplace transforms to find the Laplace transform of the solution.
X(s) = L {x(t)} =
=
Obtain the solution x(t).
help (formulas)
x(t) =
=
help (formulas)
Book: Section 6.3 of Notes on Diffy Qs
Transcribed Image Text:Consider the following integral equation, so called because the unknown dependent variable, x, appears within an integral: • t So sin(5(t − w)) x(w) dw = 9t². This equation is defined for t > 0. Use convolution and Laplace transforms to find the Laplace transform of the solution. X(s) = L {x(t)} = = Obtain the solution x(t). help (formulas) x(t) = = help (formulas) Book: Section 6.3 of Notes on Diffy Qs
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

Blurred answer