1

GATE CE 2016 Set 1

MCQ (Single Correct Answer)

+2

-0.6

The solution of the partial differential equation $${{\partial u} \over {\partial t}} = \alpha {{{\partial ^2}u} \over {\partial {x^2}}}$$ is of the form

2

GATE CE 2015 Set 2

Numerical

+2

-0

Consider the following second order linear differential equation $${{{d^2}y} \over {d{x^2}}} = - 12{x^2} + 24x - 20$$

The boundary conditions are: at $$x=0, y=5$$ and at $$x=2, y=21$$

The value of $$y$$ at $$x=1$$ is

The boundary conditions are: at $$x=0, y=5$$ and at $$x=2, y=21$$

The value of $$y$$ at $$x=1$$ is

Your input ____

3

GATE CE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

Consider the following differential equation

$$x\left( {y\,dx + x\,dy} \right)\cos \left( {{y \over x}} \right)$$

$$\,\,\,\,\,\,\,\,\,\, = y\left( {x\,dy - y\,dx} \right)\sin \left( {{y \over x}} \right)$$

$$x\left( {y\,dx + x\,dy} \right)\cos \left( {{y \over x}} \right)$$

$$\,\,\,\,\,\,\,\,\,\, = y\left( {x\,dy - y\,dx} \right)\sin \left( {{y \over x}} \right)$$

Which of the following is the solution of the above equation ($$C$$ is an arbitrary constant)

4

GATE CE 2014 Set 2

Numerical

+2

-0

Water is following at a steady rate through a homogeneous and saturated horizontal soil strip of $$10$$m length. The strip is being subjected to a constant water head $$(H)$$ of $$5$$m at the beginning and $$1$$m at the end. If the governing equation of flow in the soil strip is $$\,\,{{{d^2}H} \over {d{x^2}}} = 0\,\,$$ (where $$x$$ is the distance along the soil strip), the value of $$H$$ (in m) at the middle of the strip is _______.

Your input ____

Questions Asked from Differential Equations (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CE Subjects

Engineering Mechanics

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Geomatics Engineering Or Surveying

Environmental Engineering

Transportation Engineering

Engineering Mathematics

General Aptitude