GATE ME

Transform Theory

Engineering Mathematics

(Past Years Questions)

Marks 1

More
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)$$ is
GATE ME 2015 Set 2
The Laplace Transform of $$f\left( t \right) = {e^{2t}}\sin \left( {5t} \right)\,u\left( t \right)$$ is
GATE ME 2015 Set 1
Laplace transform of $$\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

EXAM MAP

Graduate Aptitude Test in Engineering

GATE ECE GATE CSE GATE CE GATE EE GATE ME GATE PI GATE IN

Joint Entrance Examination

JEE Main JEE Advanced