1
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
If $$F\left( s \right) = L\left\{ {f\left( t \right)} \right\} = {{2\left( {s + 1} \right)} \over {{s^2} + 4s + 7}}$$ then the initial and final values of $$f(t)$$ are respectively
2
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
Laplace transform of $$f\left( t \right) = \cos \left( {pt + q} \right)$$ is
3
GATE CE 2002
MCQ (Single Correct Answer)
+2
-0.6
The Laplace transform of the following function is
$$$f\left( t \right) = \left\{ {\matrix{
{\sin t} & {for\,\,0 \le t \le \pi } \cr
0 & {for\,\,t > \pi } \cr
} } \right.$$$
4
GATE CE 2002
Subjective
+2
-0
Using Laplace transforms, solve $${a \over {{s^2} - {a^2}}}\,\,\left( {{d^2}y/d{t^2}} \right) + 4y = 12t\,\,$$
given that $$y=0$$ and $$dy/dt=9$$ at $$t=0$$
given that $$y=0$$ and $$dy/dt=9$$ at $$t=0$$
Questions Asked from Transform Theory (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude