# Engineering Mathematics-Differential Equations [GATE (Graduate Aptitude Test in Engineering) Electronics & CE (EC)]: 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.

Edit

## Question 5

Appeared in Year: 2016

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

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## Question 6

Appeared in Year: 2016