1
GATE CE 2016 Set 1
+1
-0.3
The type of partial differential equation $${{{\partial ^2}p} \over {\partial {x^2}}} + {{{\partial ^2}p} \over {\partial {y^2}}} + 3{{{\partial ^2}p} \over {\partial x\partial y}} + 2{{\partial p} \over {\partial x}} - {{\partial p} \over {\partial y}} = 0$$ is
A
elliptic
B
parabolic
C
hyperbolic
D
none of these
2
GATE CE 2014 Set 2
+1
-0.3
The integrating factor for the differential equation $${{dP} \over {dt}} + {k_2}\,P = {k_1}{L_0}{e^{ - {k_1}t}}\,\,$$ is
A
$${e^{ - {k_1}t}}\,$$
B
$${e^{ - {k_2}t}}\,$$
C
$${e^{ {k_1}t}}\,$$
D
$${e^{ {k_2}t}}\,$$
3
GATE CE 2011
+1
-0.3
The solution of the differential equation $${{dy} \over {dx}} + {y \over x} = x$$ with the condition that $$y=1$$ at $$x=1$$ is
A
$$y = {2 \over {3{x^2}}} + {x \over 3}$$
B
$$y = {x \over 2} + {1 \over {2x}}$$
C
$$y = {2 \over 3} + {x \over 3}$$
D
$$y = {2 \over {3x}} + {{{x^2}} \over 3}$$
4
GATE CE 2010
+1
-0.3
The order and degree of a differential equation $${{{d^3}y} \over {d{x^3}}} + 4\sqrt {{{\left( {{{dy} \over {dx}}} \right)}^3} + {y^2}} = 0$$ are respectively
A
$$3$$ and $$2$$
B
$$2$$ and $$3$$
C
$$3$$ and $$3$$
D
$$3$$ and $$1$$
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude
EXAM MAP
Joint Entrance Examination