1
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
$$y = {2 \over {3x}} + {{{x^2}} \over 3}$$
2
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 $$1$$
3
GATE CE 2010
+1
-0.3
The partial differential equation that can be formed from $$z=ax+by+ab$$ has the form $$\,\,\left( {p = {{\partial z} \over {\partial x}},q = {{\partial z} \over {\partial y}}} \right)\,\,$$
A
$$z=px+qy$$
B
$$z=px-qy$$
C
$$z=px+qy+pq$$
D
$$z=qy+pq$$
4
GATE CE 2009
+1
-0.3
Solution of the differential equation $$3y{{dy} \over {dx}} + 2x = 0$$ represents a family of
A
ellipses
B
circle
C
parabolas
D
hyperbolas
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
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination