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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} ,$$GATE ME 2015 Set 2 The Laplace Transform of$$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)$$is GATE ME 2015 Set 2 Laplace transform of$$\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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