1
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $${e^{i5t}}$$ where $$i = \sqrt { - 1} ,$$
A
$${{s - 5i} \over {{s^2} - 25}}$$
B
$${{s + 5i} \over {{s^2} + 25}}$$
C
$${{s + 5i} \over {{s^2} - 25}}$$
D
$${{s - 5i} \over {{s^2} + 25}}$$
2
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The Laplace Transform of $$f\left( t \right) = {e^{2t}}\sin \left( {5t} \right)\,u\left( t \right)$$ is
A
$${5 \over {{s^2} - 4s + 29}}$$
B
$${5 \over {{s^2} + 5}}$$
C
$${{s - 2} \over {{s^2} - 4s + 29}}$$
D
$${5 \over {s + 5}}$$
3
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $$\cos \,\left( {\omega t} \right)$$ is $${s \over {{s^2} + {\omega ^2}.}}$$. The Laplace transform of $${e^{ - 2t}}\,\cos \left( {4t} \right)$$ is
A
$${{s - 2} \over {{{\left( {s - 2} \right)}^2} + 16}}$$
B
$${{s + 2} \over {{{\left( {s - 2} \right)}^2} + 16}}$$
C
$${{s - 2} \over {{{\left( {s + 2} \right)}^2} + 16}}$$
D
$${{s + 2} \over {{{\left( {s + 2} \right)}^2} + 16}}$$
4
GATE ME 2013
MCQ (Single Correct Answer)
+1
-0.3
The function $$f(t)$$ satisfies the differential equation $${{{d^2}f} \over {d{t^2}}} + f = 0$$ and the auxiliary conditions, $$f\left( 0 \right) = 0,\,{{df} \over {dt}}\left( 0 \right) = 4.$$ The laplace transform of $$f(t)$$ is given by
A
$${2 \over {s + 1}}$$
B
$${4 \over {s + 1}}$$
C
$${4 \over {{s^2} + 1}}$$
D
$${2 \over {{s^4} + 1}}$$
GATE ME Subjects
Turbo Machinery
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12