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GATE ME

Transform Theory

Engineering Mathematics

Previous Years Questions

Marks 1

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Laplace transform of $$\cos \left( {\omega t} \right)$$ is
GATE ME 2015 Set 2
The Laplace Transform of $$f\left( t \right) = {e^{2t}}\sin \left( {5t} \right)\,u\left( t \right)$$ is
GATE ME 2015 Set 1
Laplace transform of the function $$f(t)$$ is given by $$f\left( s \right) = L\left\{ {f\left( t \right)} \right\} = \in...
GATE ME 2015 Set 3
The Laplace transform of $${e^{i5t}}$$ where $$i = \sqrt { - 1} ,$$
GATE ME 2015 Set 2
Laplace transform of $$\cos \,\left( {\omega t} \right)$$ is $${s \over {{s^2} + {\omega ^2}.}}$$. The Laplace transfor...
GATE ME 2014 Set 4
The function $$f(t)$$ satisfies the differential equation $${{{d^2}f} \over {d{t^2}}} + f = 0$$ and the auxiliary condit...
GATE ME 2013
The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\left( {s + 1} \right)}}$$ is given by
GATE ME 2012
The Laplace transform of $$f\left( t \right)$$ is $${1 \over {{s^2}\left( {s + 1} \right)}}.$$ The function
GATE ME 2010
The inverse Laplace transform of $${1 \over {\left( {{s^2} + s} \right)}}$$ is
GATE ME 2009
If $$F(s)$$ is the Laplace transform of the function $$f(t)$$ then Laplace transform of $$\int\limits_0^t {f\left( x \ri...
GATE ME 2007
Laplace transform of $${\left( {a + bt} \right)^2}$$ where $$'a'$$ and $$'b'$$ are constants is given by:
GATE ME 1999
Solve the initial value problem $${{{d^2}y} \over {d{x^2}}} - 4{{dy} \over {dx}} + 3y = 0$$ with $$y=3$$ and $${{dy} \...
GATE ME 1997
If $$f(t)$$ is a finite and continuous Function for $$t \ge 0$$ the laplace transformation is given by $$F = \int\limit...
GATE ME 1994
The laplace transform of the periodic function $$f(t)$$ described by the curve below $$i.e.\,\,f\left( t \right) = \lef...
GATE ME 1993

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