2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution here. [8] a) "+6y8y = 2, y(0)=-2, y'(0) = 1. Taking Laplace transforms gives 2 2 s2Y(s) + 28 1+6(sY(s)+2)+8Y(s) = = = => Y(s) = + S s(82 +68+8) -11-28 $2 +68+8
2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution here. [8] a) "+6y8y = 2, y(0)=-2, y'(0) = 1. Taking Laplace transforms gives 2 2 s2Y(s) + 28 1+6(sY(s)+2)+8Y(s) = = = => Y(s) = + S s(82 +68+8) -11-28 $2 +68+8
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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![2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution here.
[8] a) "+6y8y = 2, y(0)=-2, y'(0) = 1. Taking Laplace transforms gives
2
2
s2Y(s) + 28 1+6(sY(s)+2)+8Y(s) =
=
= => Y(s) =
+
S
s(82 +68+8)
-11-28
$2 +68+8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe20bbb22-0361-4a3a-9a0f-aaeaef995ed7%2F1a10aa4a-6cce-4e39-a323-7f5ec9792afe%2F7za83le_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution here.
[8] a) "+6y8y = 2, y(0)=-2, y'(0) = 1. Taking Laplace transforms gives
2
2
s2Y(s) + 28 1+6(sY(s)+2)+8Y(s) =
=
= => Y(s) =
+
S
s(82 +68+8)
-11-28
$2 +68+8
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