Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2 + 9 -21 + 5 ·e' + 18 1 2

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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Use laplace transform to solve the given initial value problem. 

 

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3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0
4
Ans. y(t)
=
-
Ans. y
-
3
3
4. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0
Ans. y=10 cost + 2 sint -√√2 sin√√2t
-1/2
1
5. 2y+3y"-3y¹-2y=e",
y(0)=y'(0) = 0, y "(0)=1
8
9
+
-4t
1
9
+
5
é + ½ e ²¹
18 2
Transcribed Image Text:3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0 4 Ans. y(t) = - Ans. y - 3 3 4. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0 Ans. y=10 cost + 2 sint -√√2 sin√√2t -1/2 1 5. 2y+3y"-3y¹-2y=e", y(0)=y'(0) = 0, y "(0)=1 8 9 + -4t 1 9 + 5 é + ½ e ²¹ 18 2
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