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
2C
2. Determine the Laplace transform of the given function.
a) f(t) = e³¹t4
c) ƒ(t) = e³¹ sin(3t)
e) f(t) = est cos² (51)
g) f(t)=(1-3)2² U₂ (1)
i) f(t) = t²U₂(t)
k) f(t) = t³ cos(3t)
b) f(t)=2e³t -3te²t
-4t
d) f(t)= et cosh(2t)
f) f(t)= e' cost + e' sin² (3t)
2-(0)7
h) f(t) = e(¹-2) U₂ (1)
j) f(t) = e(¹-4) († − 1)² U₁ (t)
l) f(t)= te³¹ sin(2t)
Transcribed Image Text:2. Determine the Laplace transform of the given function. a) f(t) = e³¹t4 c) ƒ(t) = e³¹ sin(3t) e) f(t) = est cos² (51) g) f(t)=(1-3)2² U₂ (1) i) f(t) = t²U₂(t) k) f(t) = t³ cos(3t) b) f(t)=2e³t -3te²t -4t d) f(t)= et cosh(2t) f) f(t)= e' cost + e' sin² (3t) 2-(0)7 h) f(t) = e(¹-2) U₂ (1) j) f(t) = e(¹-4) († − 1)² U₁ (t) l) f(t)= te³¹ sin(2t)
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