1
GATE PI 2015
+1
-0.3
The solution to $$\,6y{y^1} - 25x = 0\,\,$$ represents a
A
family of circles
B
family of ellipses
C
family of parabolas
D
family of hyperbolas
2
GATE PI 2015
+1
-0.3
The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is
A
$$y = {C_1}{x^2} + {C_2}{x^{ - 3}}$$
B
$$y = {C_1} + {C_2}{x^{ - 2}}$$
C
$$y = {C_1}x + {{{C_2}} \over x}$$
D
$$y = {C_1}x + {C_2}{x^4}$$
3
GATE PI 2009
+1
-0.3
The homogeneous part of the differential equation $$\,{{{d^2}y} \over {d{x^2}}} + p{{dy} \over {dx}} + qy = r\,\,$$ ( $$p, q, r$$ are constants) has real distinct roots if
A
$${p^2} - 4q > 0$$
B
$${p^2} - 4q < 0$$
C
$${p^2} - 4q = 0$$
D
$${p^2} - 4q = r$$
4
GATE PI 2008
+1
-0.3
The solutions of the differential equation $${{{d^2}y} \over {d{x^2}}} + 2{{dy} \over {dx}} + 2y = 0\,\,$$ are
A
$${e^{ - \left( {1 + i} \right)x}},{e^{ - \left( {1 - i} \right)x}}$$
B
$${e^{\left( {1 + i} \right)x}},\,\,{e^{\left( {1 - i} \right)x}}$$
C
$${e^{ - \left( {1 + i} \right)x}},\,\,{e^{\left( {1 + i} \right)x}}$$
D
$${e^{\left( {1 + i} \right)x}},\,\,{e^{ - \left( {1 + i} \right)x}}$$
GATE PI Subjects
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Heat Transfer
Thermodynamics
Casting
Joining of Materials
Metal Forming
Machine Tools and Machining
Metrology
Industrial Engineering
EXAM MAP
Joint Entrance Examination