1
GATE ECE 1994
Subjective
+2
-0
Match each of the items A, B and C with an appropriate item from 1, 2, 3, 4 and 5.
List - 1
(A) $${a_1}{{{d^{2y}}} \over {d{x^2}}} + {a_2}y{{dy} \over {dx}} + {a_3}y = {a_4}$$
(B) $${a_1}{{{d^3}y} \over {d{x^3}}} + {a_2}y = {a_3}$$
(C) $$\eqalign{
& {a_1}{{{d_2}y} \over {d{x_2}}} + {a_2}x{{dy} \over {dx}} + {a_3}\,{x^2}y = 0 \cr
& \cr} $$
List - 2
(1) Non linear differential equation.
(2) Linear differential equation with constant coefficients.
(3) Linear homogeneous differential equation.
(4) Non - Linear homogeneous differential equation.
(5) Non - linear first order differential equation.
2
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
The voltage across an impedance in a network is V(s) = Z(s) I(s), where V(s), Z(s) and $${\rm I}$$(s) are the Laplace Transforms of the corresponding time functions V(t), z(t) and i(t).
The voltage v(t) is
3
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
An excitation is applied to a system at $$t = T$$ and its response is zero for $$ - \infty < t < T$$.
Such a system is a
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The response of an initially relaxed linear constant parameter network to a unit impulse applied at $$t = 0$$ is $$4{e^{ - 2t}}u\left( t \right).$$ The response of this network to a unit step function will be:
Questions Asked from Continuous Time Linear Invariant System (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2017 Set 2 (3)
GATE ECE 2017 Set 1 (1)
GATE ECE 2015 Set 2 (2)
GATE ECE 2013 (1)
GATE ECE 2012 (1)
GATE ECE 2011 (1)
GATE ECE 2010 (1)
GATE ECE 2009 (1)
GATE ECE 2008 (2)
GATE ECE 2007 (1)
GATE ECE 2006 (1)
GATE ECE 2005 (1)
GATE ECE 2004 (3)
GATE ECE 2001 (1)
GATE ECE 2000 (2)
GATE ECE 1997 (1)
GATE ECE 1994 (1)
GATE ECE 1991 (2)
GATE ECE 1990 (2)
GATE ECE 1988 (1)
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series
Discrete Time Signal Fourier Series Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Transmission of Signal Through Continuous Time LTI Systems
Discrete Time Linear Time Invariant Systems
Sampling
Continuous Time Signal Laplace Transform
Discrete Fourier Transform and Fast Fourier Transform
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Fourier Transform
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics