GATE PI 2009 | Differential Equations Question 8 | Engineering Mathematics

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

Questions Asked from Marks 2

GATE PI 2012 (1) GATE PI 2011 (1) GATE PI 2010 (2) GATE PI 2009 (1)

GATE PI Subjects

Fluid Mechanics

Metrology

Theory of Machines

Engineering Mathematics

Heat Transfer

Machine Tools and Machining

Industrial Engineering

Engineering Mechanics

Strength of Materials

Thermodynamics

Machine Design

Casting

Joining of Materials

Metal Forming