Find the Laplace transform of the given differential equation with initial conditions: dy -3y e v(0) = I dt 8-5 A -5s + 6 s-1 B -3s +6 3-2 2-3s +6 3-1 -5s +6
Find the Laplace transform of the given differential equation with initial conditions: dy -3y e v(0) = I dt 8-5 A -5s + 6 s-1 B -3s +6 3-2 2-3s +6 3-1 -5s +6
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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Transcribed Image Text:Find the Laplace transform of the given differential equation with initial conditions:
3y =e: v(0) = I
dt
S-5
A.
-Ss +6
B
-3s +6
S-2
2- 3s +6
- 5s +6
Given the differential equation (2r cosr-1)r'=rsin x, obtain the value of U=
A
U=rsin x+()
B
U=-risin a+/(r)
U=rcos x+f)
U=-rcos x + f(r
Which of the following differential equations can be classified'as a Bernouli differential equation?
X(x-v)dy =dr
(c y de = (y- ydy
(x+ydy =(-y+ 10)dx

Transcribed Image Text:Question 5
Fnd the Laace tranfom ofthe gven ofererca eqution with intal btonditens
Question 6
Given the diterere eon ( n- na e corain eort d
O in
© erinin
Question 7
Wien of the foiowing differenca egons cenecessfed aal
afererde equaton
(A) dd
Guen the afferencia eouacion (2 cs-1) ctan reve or M d
A tarnrin
U--in n
Whieh of the folowng oifferenca equatons can be cessified as a Bernou dferentie equon
A -dv d
© y diynd
D
Find the Laoace transform of ne give arerente equetion wth inita condsons
1-1
-2
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