Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha fazlasını seçin: O - (3F(s) – 2} = 3L"{F(s}} O The inverse Laplace transform of F(s) = 38-4 is f(t) = 3e' cos (2t) – e' sin (2t). g2 28+5 The function y1 =t° is a solution of the equation ey" – 3ty + 4y = 0, t>0. By using reduction of order, we find a second linearly independent solution y2(t) = t Int. Suppose L{f(t)} = F(s), for some function f(t). Then, L{t f'(t)}= sF" (s) +2F'(s) %3D
Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha fazlasını seçin: O - (3F(s) – 2} = 3L"{F(s}} O The inverse Laplace transform of F(s) = 38-4 is f(t) = 3e' cos (2t) – e' sin (2t). g2 28+5 The function y1 =t° is a solution of the equation ey" – 3ty + 4y = 0, t>0. By using reduction of order, we find a second linearly independent solution y2(t) = t Int. Suppose L{f(t)} = F(s), for some function f(t). Then, L{t f'(t)}= sF" (s) +2F'(s) %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following statement(s) are true?
Choose only 2 statements.
Lütfen bir ya da daha fazlasını seçin:
O E- (3F(s) – 2} = 3L"'{F(s}}
38-4
O The inverse Laplace transform of F(s)
is f(t) = 3e' cos (2t) – e' sin (2t).
82 2s+5
The function y1 =t° is a solution of the equation
*y" – 3ty + 4y = 0, t>0.
1
By using reduction of order, we find a second linearly independent solution y2(t) = t Int.
Suppose L{f(t)} = F(s), for some function f(t). Then, L{t f'(t)} = sF" (s) + 2F'(s)
%3D
%3D
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