# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 51 - 58 of 71

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## Question 51

Engineering Mathematics
Higher Order Linear Differential Equations

Appeared in Year: 2019

### Question

Consider the homogeneous ordinary differential equation . With as a general solution. Given that and the value of (rounded off to two decimal places) , is ________.

## Question 52

Engineering Mathematics
Theorems of Integral Calculus

Appeared in Year: 2016

### Question

The integral is equal to

## Question 53

Engineering Mathematics
Complementary Function and Particular Integral

Appeared in Year: 2015

### Question

MCQ▾

Consider the differential equation with initial condition The response for is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 54

Engineering Mathematics
Divergence and Curl, Gauss's, Green's and Stoke's Theorems

Appeared in Year: 2017

### Question

MCQ▾

If the vector function

is irrotational, then the values of the constant respectively, are

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 55

Engineering Mathematics
Eigen Values and Eigen Vectors

Appeared in Year: 2015

### Question

The value of p such that the vector is an eigenvector of the matrix is …

## Question 56

Engineering Mathematics
Complementary Function and Particular Integral

Appeared in Year: 2017

### Question

MCQ▾

The general solution of the differential equation

in terms of arbitrary constants

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 57

Engineering Mathematics
Complementary Function and Particular Integral

Appeared in Year: 2015

### Question

Consider the differential equation

Given and , where the value of is …

## Question 58

Engineering Mathematics
First Order Equations

Appeared in Year: 2017