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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Question
![W (4) Find Laplace Transform F(s) for the variable x or y in the equations
a- y"+2y-3y = 32e"; y'(0)=12, y(0) = 0
Wy
b-
+2y=0;
y=1 at t=0, y(0) = 1
dt
dy
C-
+2y=cost;
y(0) = 1
dt
d- y" + 3y' +2y=1;
y'(0)=0, y(0) = 0
e- y"-3y' + 2y = 12e"; where y'(0) =
dx
f-
- 4x=2e²" + e*; where x(0)=0
dt
dx
-2x=4; where x(0)=1
dt
h- x' + 2x=10e¹;
where x(0) = 6
d'y
i-
-9y=sint;
y'(0)=0, y(0)=0
dt²
j- y" +5y' +6y=1; Assuming zero I.C.
Zevid
aheem](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50d8e540-ed4d-4a65-83a8-56370cfa92c1%2Ff854a094-8596-43ee-aef4-ddafe8df9552%2Ffdzh61c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:W (4) Find Laplace Transform F(s) for the variable x or y in the equations
a- y"+2y-3y = 32e"; y'(0)=12, y(0) = 0
Wy
b-
+2y=0;
y=1 at t=0, y(0) = 1
dt
dy
C-
+2y=cost;
y(0) = 1
dt
d- y" + 3y' +2y=1;
y'(0)=0, y(0) = 0
e- y"-3y' + 2y = 12e"; where y'(0) =
dx
f-
- 4x=2e²" + e*; where x(0)=0
dt
dx
-2x=4; where x(0)=1
dt
h- x' + 2x=10e¹;
where x(0) = 6
d'y
i-
-9y=sint;
y'(0)=0, y(0)=0
dt²
j- y" +5y' +6y=1; Assuming zero I.C.
Zevid
aheem
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