Question 1 Question 2 Using variation of parameters which one of the The Laplace transform of following gives a particular solution of the differential equation 5 – 3 sin t + 6 cos t – 2et y" + 25y = et is Select one: 3 6s Select one: s2+1 s2+1 1 Yp = U1 (x) sin 9x + u2 (x) cos 9x None of the others. Yp = u1 (x) sin 2x + u2 (x) cos 2x 3 3 6s 2 s2+1 s2+1 1 Yp = u1 (x) sin 5x + u2 (x) cos 5x 3 6s 2 Yp = u1 (x) sin x + u2 (x) cos x s21 s2 +1 s-1 3 6s None of the others. s2+1 s2+1 s-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Ordinary Differential Equations.
Question 1
Question 2
Using variation of parameters which one of the
The Laplace transform of
following gives a particular solution of the
differential equation
5 – 3 sin t + 6 cos t – 2et
y" + 25y
= et
is
?
Select one:
3
6s
Select one:
s2+1
s2+1
1
Yp = U1 (x) sin 9x + u2 (x) cos 9x
None of the others.
Yp = u1 (x) sin 2x + u2 (x) cos 2x
3
3
6s
2
s2+1
s2+1
1
Yp = u1 (x) sin 5x + u2 (x) cos 5x
3
6s
2
Yp = u1 (x) sin x + u2 (x) cos x
s2+1
s2 +1
s-1
3
6s
None of the others.
s2+1
s2+1
s-1
Transcribed Image Text:Question 1 Question 2 Using variation of parameters which one of the The Laplace transform of following gives a particular solution of the differential equation 5 – 3 sin t + 6 cos t – 2et y" + 25y = et is ? Select one: 3 6s Select one: s2+1 s2+1 1 Yp = U1 (x) sin 9x + u2 (x) cos 9x None of the others. Yp = u1 (x) sin 2x + u2 (x) cos 2x 3 3 6s 2 s2+1 s2+1 1 Yp = u1 (x) sin 5x + u2 (x) cos 5x 3 6s 2 Yp = u1 (x) sin x + u2 (x) cos x s2+1 s2 +1 s-1 3 6s None of the others. s2+1 s2+1 s-1
Question 3
The inverse Laplace transform of
7
-
s + 2
s – 3
is
Select one:
O 7e-2t – 5e-3t
7e-2t
+ 5e3t
O 7e-2t
5e3t
none of the others
O 5e2t
5e3t
-
Transcribed Image Text:Question 3 The inverse Laplace transform of 7 - s + 2 s – 3 is Select one: O 7e-2t – 5e-3t 7e-2t + 5e3t O 7e-2t 5e3t none of the others O 5e2t 5e3t -
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