Engineering Mathematics-Differential Equations [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 6 of 16

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Question 1

Appeared in Year: 2010

Question MCQ▾

A function n (x) satisfied the differential equation Where L is constant. The boundary conditions are: and . The solution to this equation is

Choices

Choice (4)Response

a.

b.

)

c.

)

d.

)

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Question 2

Appeared in Year: 2019

Question MCQ▾

Consider a differentiable function f (x) on the set of real numbers such that f (-1) = 0 and . Given these conditions, which one of the following inequalities is necessarily true for all ? (Carry One Mark Each)

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 3

Appeared in Year: 2019

Question MCQ▾

The families of curves represented by the solution of the equation

For n = – 1 and n =+ 1, respectively, are

(Carry One Mark Each)

Choices

Choice (4)Response

a.

Hyperbolas and Parabolas

b.

Parabolas and Circles

c.

Circles and Hyperbolas

d.

Hyperbolas and Circles

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Question 4

Appeared in Year: 2015

Question MCQ▾

The solution of the differential equation with is

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 5

Appeared in Year: 2016

Question Numeric Answer▾

The integral where D denotes the disc: , evaluates to …

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Question 6

Appeared in Year: 2016

Question Numeric Answer▾

The region specified by in cylindrical coordinates has volume of …

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