1
GATE ECE 2011
+1
-0.3
The solution of differential equation $${{dy} \over {dx}} = ky,y\left( 0 \right) = C$$ is
A
$$x = C{e^{ky}}$$
B
$$x = k{e^{Cy}}$$
C
$$y = {e^{kx}}C$$
D
$$y = C{e^{ - kx}}$$
2
GATE ECE 2009
+1
-0.3
The order of differential equation $$\,\,{{{d^2}y} \over {d{t^2}}} + {\left( {{{dy} \over {dx}}} \right)^3} + {y^4} = {e^{ - t}}\,\,$$ is
A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
3
GATE ECE 2005
+1
-0.3
The following differential equation has $$3{{{d^2}y} \over {d{t^2}}} + 4{\left( {{{dy} \over {dt}}} \right)^3} + {y^2} + 2 = x$$
A
degree $$=2,$$ order $$=1$$
B
degree $$=1,$$ order $$=2$$
C
degree $$=4,$$ order $$=3$$
D
degree $$=2,$$ order $$=3$$
4
GATE ECE 2005
+1
-0.3
A solution of the differential equation $${{{d^2}y} \over {d{x^2}}} - 5{{dy} \over {dx}} + 6y = 0\,$$ is given by
A
$$y = {e^{2x}} + {e^{ - 3x}}$$
B
$$y = {e^{2x}} + {e^{3x}}$$
C
$$y = {e^{ - 2x}} + {e^{3x}}$$
D
$$y = {e^{ - 2x}} + {e^{ - 3x}}$$
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
EXAM MAP
Joint Entrance Examination