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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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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: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
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
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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