GATE 2019 Engineering Mathematics Quiz 5

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Question 1

The Laplace transform of cos (4t) sin (2t) is

• A
• B
• C
• D

Question 2

The solution of the ordinary differential equation given below, with initial condition y (2) = 3, is

• A
• B
• C
• D

Question 3

The Laplace Transform of a function  The f(t) is

• At – 1 + e^-t
• Bt + 1 + e^-t
• C-1 + e^-t
• D2t + e^t

Question 4

It is given that y” + 2y’ + y = 0, y(0) = 0, y(1) = 0. What is y (0.5)?

• A0
• B0.37
• C0.62
• D1.13

Question 5

The inverse Laplace transform of the function is given by

• A
• B
• C
• D
  
  

Question 6

The solution of the differential equation

satisfying the condition is

• A
• B
• C
• D

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