GATE PI 2010 | Differential Equations Question 6 | Engineering Mathematics

GATE PI 2010

MCQ (Single Correct Answer)

-0.6

Which one of the following differential equations has a solution given by the function $$y = 5\sin \left( {3x + {\pi \over 3}} \right)$$

$${{dy} \over {dx}} - {5 \over 3}\cos \left( {3x} \right) = 0$$

$${{dy} \over {dx}} + {5 \over 3}\left( {\cos 3x} \right) = 0$$

$${{{d^2}y} \over {{d^2}\,x}} + 9y = 0$$

$${{{d^2}y} \over {d{x^2}}} - 9y = 0$$

GATE PI 2009

MCQ (Single Correct Answer)

-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 $$x=1$$

$$y=1$$

$$y=x$$

$$y=x+c$$ where $$c$$ is an arbitrary constant.

$$\,y = {C_1}x + {C_2}$$ where $${C_1},\,{C_2}$$ are arbitrary constants

GATE PI Subjects

Fluid Mechanics

Fluid Statics Laminar Flow Fluid Dynamics Turbulent Flow Fluid Kinematics

Metrology

Metrology and Inspection

Theory of Machines

Analysis of Plane Mechanisms Flywheel

Engineering Mathematics

Probability and Statistics Complex Variable Vector Calculus Numerical Methods Linear Algebra Calculus Differential Equations Transform Theory

Heat Transfer

Fin Design and Transient Heat Conduction Conduction Radiation Heat Exchangers

Machine Tools and Machining

Metal Cutting Advance Machine Tools Machining

Industrial Engineering

Inventory Control Line Balancing Queuing Forecasting Pert and Cpm

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

Simple Stress and Strain Shear Force and Bending Moment Complex Stresses Deflection of Beams Thin Cylinders Pure Bending

Thermodynamics

Entropy and Irreversibility

Machine Design

Design For Static Loading Design of Spur Gears

Casting

Casting Process

Joining of Materials

Welding

Metal Forming

Metal Forming Process Sheet Metal Forming Processes