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Test: Laplace Transform- 2 - Electronics and Communication Engineering (ECE) MCQ


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10 Questions MCQ Test - Test: Laplace Transform- 2

Test: Laplace Transform- 2 for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Test: Laplace Transform- 2 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Laplace Transform- 2 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Laplace Transform- 2 below.
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Test: Laplace Transform- 2 - Question 1

Determine the Laplace transform of given signal.
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Detailed Solution for Test: Laplace Transform- 2 - Question 1


Test: Laplace Transform- 2 - Question 2

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 2


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Test: Laplace Transform- 2 - Question 3

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Test: Laplace Transform- 2 - Question 4

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 4


Test: Laplace Transform- 2 - Question 5

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 5


Test: Laplace Transform- 2 - Question 6

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 6


x(t) = ( e-t - 2te-2t) u(t)
 

Test: Laplace Transform- 2 - Question 7

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 7


Test: Laplace Transform- 2 - Question 8

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 8


Test: Laplace Transform- 2 - Question 9

Determine the time signal x(t) corresponding to given X (s) and choose correct option.
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Detailed Solution for Test: Laplace Transform- 2 - Question 9


Test: Laplace Transform- 2 - Question 10

The Laplace transform of the differential equation y" + ay' + by = f(t). Assume that y(0) = 5, y'(0) = 10, Y(s) and F(s) are the Laplace transforms of y(t) and f(t) respectively

Detailed Solution for Test: Laplace Transform- 2 - Question 10

A second-order differential equation is represented as:
y" + ay' + by = f(t)
The Laplace transform of the above equation with the initial condition is:
s2Y(s) - sY(0) - Y'(0) + a[sY(s) - Y(0)] + bY(s) = F(s)

Calculation
Given, y(0) = 5, y'(0) = 10
S2Y(s) - 5s - 10 + a (sY(s) - 5) + bY(s) = F(s)
Hence, the correct answer is option 2.

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