Which of the following statement(s) are true?Choose only 2 statements.Lütfen bir ya da daha fazlasını seçin:2• £-{3F(s) – 2} = 3£¬'{F(s)}3s-4The inverse Laplace transform of F(s)is f(t) = 3e' cos (2t) – e' sin (2t).s2-2s+5Suppose L{f(t)}F(s), for some function f(t). Then, L{t² f' (t)} = sF"(s) + 2F'(s)%3DThe function y1 =t² is a solution of the equationty" – 3ty + 4y = 0, t> 0.By using reduction of order, we find a second linearly independent solution y2(t) = t² In t.

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)} 3s-4 The inverse Laplace transform of F(s) = is f(t) = 3e' cos (2t) – e' sin (2t). 52–2s+5 Suppose L{f(t)} = F(s), for some function f(t). Then, L{t² f'(t)} = sF"(s) + 2F'(s) The function yı = t2 is a solution of the equation %3D ty" – 3ty' + 4y = 0, t> 0. By using reduction of order, we find a second linearly independent solution y2(t) = t2 In t.

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)} 3s-4 The inverse Laplace transform of F(s) = is f(t) = 3e' cos (2t) – e' sin (2t). 52–2s+5 Suppose L{f(t)} = F(s), for some function f(t). Then, L{t² f'(t)} = sF"(s) + 2F'(s) The function yı = t2 is a solution of the equation %3D ty" – 3ty' + 4y = 0, t> 0. By using reduction of order, we find a second linearly independent solution y2(t) = t2 In t.

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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Question

Which of the following statement(s) are true?
Choose only 2 statements.
Lütfen bir ya da daha fazlasını seçin:
2
• £-{3F(s) – 2} = 3£¬'{F(s)}
3s-4
The inverse Laplace transform of F(s)
is f(t) = 3e' cos (2t) – e' sin (2t).
s2-2s+5
Suppose L{f(t)}
F(s), for some function f(t). Then, L{t² f' (t)} = sF"(s) + 2F'(s)
%3D
The function y1 =t² is a solution of the equation
ty" – 3ty + 4y = 0, t> 0.
By using reduction of order, we find a second linearly independent solution y2(t) = t² In t.

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