1
GATE CE 1997
+2
-0.6
The differential equation $${{dy} \over {dx}} + py = Q,$$ is a linear equation of first order only if,
A
$$P$$ is a constant but $$Q$$ is a function of $$y$$
B
$$P$$ and $$Q$$ are functions of $$y$$ (or) constants
C
$$P$$ is a function of $$y$$ but $$Q$$ is a constant
D
$$P$$ and $$Q$$ are functions of $$x$$ (or) constants
2
GATE CE 1996
Subjective
+2
-0
Solve $${{{d^4}v} \over {d{x^4}}} + 4{\lambda ^4}v = 1 + x + {x^2}$$
3
GATE CE 1995
+2
-0.6
The solution of a differential equation $${y^{11}} + 3{y^1} + 2y = 0$$ is of the form
A
$${c_1}{e^x} + {c_2}{e^{2x}}$$
B
$${c_1}{e^{ - x}} + {c_2}{e^{3x}}$$
C
$${c_1}{e^{ - x}} + {c_2}{e^{ - 2x}}$$
D
$${c_1}{e^{ - 2x}} + {c_2}{2^{ - x}}$$
4
GATE CE 1994
+2
-0.6
The differential equation $${{{d^4}y} \over {d{x^4}}} + P{{{d^2}y} \over {d{x^2}}} + ky = 0\,\,$$ is
A
Linear of fourth order
B
Non - Linear of fourth order
C
Non - Homogeneous
D
Linear and fourth degree
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