1
GATE PI 2010
MCQ (Single Correct Answer)
+2
-0.6
The solution of the differential equation $${{dy} \over {dx}} - {y^2} = 1$$ satisfying the condition $$y(0)=1$$ is
A
$$y = {e^{{x^2}}}$$
B
$$y = \sqrt x$$
C
$$\,y = \cot \left( {x + {\raise0.5ex\hbox{\scriptstyle \pi } \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 4}}} \right)$$
D
$$y = tan\left( {x + {\raise0.5ex\hbox{\scriptstyle \pi } \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 4}}} \right)$$
2
GATE PI 2009
MCQ (Single Correct Answer)
+2
-0.6
The solution of the differential equation $${{{d^2}y} \over {d{x^2}}} = 0$$ with boundary conditions
(i) $${{dy} \over {dx}} = 1$$ at $$x=0$$
(ii) $${{dy} \over {dx}} = 1$$ at $$x=1$$
A
$$y=1$$
B
$$y=x$$
C
$$y=x+c$$ where $$c$$ is an arbitrary constant.
D
$$\,y = {C_1}x + {C_2}$$ where $${C_1},\,{C_2}$$ are arbitrary constants
GATE PI Subjects
Fluid Mechanics
Metrology
Theory of Machines
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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Civil Services
UPSC Civil Service
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NDA
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Class 12