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21. 1-2e'dt

21. 1-2e'dt

Advanced Engineering Mathematics
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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# 21 please. Intro to differential equations hw help
1, 16. f(t) = (0, T <t< 00 0<t < 1 1, 1<t< ∞ 17. f(t) = 0 <t < 1 18. f(t) = { 2- t, 1<t < 2 t, 2 <t < 0 In each of Problems 19 through 21, determine whether the given integral converges or diverges. 19. ng functions: 20. te'dt here a is a real 21. > 0 and of 0o. Use integration by parts to show that L{f(t)}, then lim F(s) = 0. The result is actually true are continuous for t 22. Suppose that f and exponential order as t if F(s) = -> S00 under less restrictive conditions, such as those of Theorem 6.1.2. of the Laplace unction; a and b 23. The Gamma Function. The gamma function is denoted by T(p) and is defined by the integral T(n+1) = pyPdr (7) 4). F9 20 F F7 FB F2 F4 %23 %24 % de %3D 7 6. 2 3 4.
Transcribed Image Text:1, 16. f(t) = (0, T <t< 00 0<t < 1 1, 1<t< ∞ 17. f(t) = 0 <t < 1 18. f(t) = { 2- t, 1<t < 2 t, 2 <t < 0 In each of Problems 19 through 21, determine whether the given integral converges or diverges. 19. ng functions: 20. te'dt here a is a real 21. > 0 and of 0o. Use integration by parts to show that L{f(t)}, then lim F(s) = 0. The result is actually true are continuous for t 22. Suppose that f and exponential order as t if F(s) = -> S00 under less restrictive conditions, such as those of Theorem 6.1.2. of the Laplace unction; a and b 23. The Gamma Function. The gamma function is denoted by T(p) and is defined by the integral T(n+1) = pyPdr (7) 4). F9 20 F F7 FB F2 F4 %23 %24 % de %3D 7 6. 2 3 4.
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