L (sin? t) What is f (t), f' (t) and f (0) ? O b) O a) f (t) = sin t, f' (t) = 2 cost, f (0) = 0 f (t) = sin² t, ƒ' (t) = sin 2t, f (0) = 0 f (t) = cos" t, ƒ' (t) = - sin 2t, f (0) = 1 19. What is the formula for Laplace First Order Derivative? O a) L (fr(t)) = sF(s)-f(0) O b) L (f"(t)) = s°F(s)-sf(0) – fi (0) O C) L (f(t)) = s²F(s)-f(0) 20. What is the formula for Laplace Second Order Derivative? O a) L (fi(t)) = sF(s)-f(0) O b) L (f"(t)) = s°F(s)–sf(0) – fi (0) O C) L (f"(t)) = s°F(s)-f(0) %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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L (sin? t) What is f (t), f' (t) and f (0) ?
O b)
O a)
f (t) = sin t, f' (t) = 2 cost, f (0) = 0 f (t) = sin² t, ƒ' (t) = sin 2t, f (0) = 0
f (t) = cos" t, ƒ' (t) = - sin 2t, f (0) = 1
19. What is the formula for Laplace First Order Derivative?
O a) L (fr(t)) = sF(s)-f(0)
O b) L (f"(t)) = s°F(s)-sf(0) – fi (0)
O C) L (f(t)) = s²F(s)-f(0)
20. What is the formula for Laplace Second Order
Derivative?
O a) L (fi(t)) = sF(s)-f(0)
O b) L (f"(t)) = s°F(s)–sf(0) – fi (0)
O C) L (f"(t)) = s°F(s)-f(0)
%3D
Transcribed Image Text:L (sin? t) What is f (t), f' (t) and f (0) ? O b) O a) f (t) = sin t, f' (t) = 2 cost, f (0) = 0 f (t) = sin² t, ƒ' (t) = sin 2t, f (0) = 0 f (t) = cos" t, ƒ' (t) = - sin 2t, f (0) = 1 19. What is the formula for Laplace First Order Derivative? O a) L (fr(t)) = sF(s)-f(0) O b) L (f"(t)) = s°F(s)-sf(0) – fi (0) O C) L (f(t)) = s²F(s)-f(0) 20. What is the formula for Laplace Second Order Derivative? O a) L (fi(t)) = sF(s)-f(0) O b) L (f"(t)) = s°F(s)–sf(0) – fi (0) O C) L (f"(t)) = s°F(s)-f(0) %3D
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