Laplace transform 1 marks

 GATE 2017 Set-2 

1. The Laplace transform of tet is

(A) \(\large \frac{s}{(s+1)^2}\)

(B) \(\large \frac{1}{(s-1)^2}\)

(C) \(\large \frac{1}{(s+1)^2}\)

(D) \(\large \frac{s}{(s-1)}\)

Answer

 GATE 2016 Set-1 

1. If f(t) is a function defined for all t ≥ 0, its Laplace transform F(s) is defined as

(A)\(\large \int_{0}^{\infty}e^{st}f(t)dt\)

(B)\(\large \int_{0}^{\infty}e^{-st}f(t)dt\)

(C)\(\large \int_{0}^{\infty}e^{ist}f(t)dt\)

(D)\(\large \int_{0}^{\infty}e^{-ist}f(t)dt\)

Answer

 GATE 2016 Set-2 

1. Laplace transform of cos(ωt) is

(A) \(\large \frac{s}{s^2+\omega ^2}\)

(B)\(\large \frac{\omega}{s^2+\omega ^2}\)

(C)\(\large \frac{s}{s^2-\omega ^2}\)

(D)\(\large \frac{\omega}{s^2-\omega ^2}\)

Answer

 GATE 2016 Set-3 

1. Solutions of Laplace’s equation having continuous second-order partial derivatives are called

(A) biharmonic functions

(B) harmonic functions

(C) conjugate harmonic functions

(D) error functions

Answer

 GATE 2015 Set-2 

1. The Laplace transform of ei5t where i=√-1, is

(A)\(\large \frac{s-5i}{s^2-25}\)

(B)\(\large \frac{s+5i}{s^2+25}\)

(C)\(\large \frac{s+5i}{s^2-25}\)

(D)\(\large \frac{s-5i}{s^2+25}\)

Answer

  GATE 2009 

1. The inverse Laplace transform of \(\large \frac{1}{(s^2+s)}\) is

(A) \(\large 1+e^t\)

(B) \(\large 1-e^t\)

(C) \(\large 1-e^{-t}\)

(D) \(\large 1+e^{-t}\)

Answer

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