Problem #9: (a) Given the initial value problem y3y 10 sint, y(0) = 9, find the Laplace transform of the solution Y(s). (b) Using the Laplace transform, Y(s), find y(t), the solution to our initial value problem. *Don't forget: Your answer should be a function of t. 39 30 s+3 (A) 3+2+1 (B) ±3-31 (0) 33-32 (0)30 30 10 +1 s²+1 (E) 5+3 9 (F) 9+ 313-33 (G) 3+3 +241 (H) 9+ 303 $+3 + 30 + s+ ²+1

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...
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Problem #9: (a) Given the initial value problem
y3y 10 sint, y(0) = 9,
find the Laplace transform of the solution Y(s).
(b) Using the Laplace transform, Y(s), find y(t), the solution to our initial value problem.
*Don't forget: Your answer should be a function of t.
39
30
s+3
(A) 3+2+1 (B) ±3-31 (0) 33-32 (0)30
30
10
+1
s²+1
(E)
5+3
9
(F) 9+ 313-33 (G) 3+3 +241 (H) 9+ 303
$+3
+
30
+
s+
²+1
Transcribed Image Text:Problem #9: (a) Given the initial value problem y3y 10 sint, y(0) = 9, find the Laplace transform of the solution Y(s). (b) Using the Laplace transform, Y(s), find y(t), the solution to our initial value problem. *Don't forget: Your answer should be a function of t. 39 30 s+3 (A) 3+2+1 (B) ±3-31 (0) 33-32 (0)30 30 10 +1 s²+1 (E) 5+3 9 (F) 9+ 313-33 (G) 3+3 +241 (H) 9+ 303 $+3 + 30 + s+ ²+1
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