Question 3 (a) (b) Show that the solution y(t) of the initial value problem has the Laplace Transform Given that s² + 16 (s-1)(s+3)(s² + 4) Evaluate the values of A, B, C and D. y" + 2y' - 3y = 6 sin 2t, y(0) = 0, y'(0) = 1 s² + 16 (s-1)(s+3)(s² + 4) B A (S-1) (s+3) + Y(s) = + Cs + D (s²+4)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Question 3
(a)
(b)
Show that the solution y(t) of the initial value problem
has the Laplace Transform
Given that
s² + 16
=
(s-1)(s + 3)(s² + 4)
Evaluate the values of A, B, C and D.
y" + 2y' - 3y = 6 sin 2t, y(0) = 0, y'(0) = 1
s² + 16
(s-1)(s+3)(s² + 4)
A
B
(S-1)
(s+3)
Y(s) =
+
Cs + D
(s² + 4)
Transcribed Image Text:Question 3 (a) (b) Show that the solution y(t) of the initial value problem has the Laplace Transform Given that s² + 16 = (s-1)(s + 3)(s² + 4) Evaluate the values of A, B, C and D. y" + 2y' - 3y = 6 sin 2t, y(0) = 0, y'(0) = 1 s² + 16 (s-1)(s+3)(s² + 4) A B (S-1) (s+3) Y(s) = + Cs + D (s² + 4)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning