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

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## Question 51

Appeared in Year: *2019*

### Question

Numeric Answer▾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

## Question 53

Appeared in Year: *2015*

### Question

MCQ▾Consider the differential equation with initial condition The response for is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 54

Appeared in Year: *2017*

### Question

MCQ▾If the vector function

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

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 55

Appeared in Year: *2015*

### Question

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

## Question 56

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

Appeared in Year: *2015*

### Question

Numeric Answer▾Consider the differential equation

Given and , where the value of is …

## Question 58

Appeared in Year: *2017*

### Question

Numeric Answer▾Starting with , the solution of the equation , after two iterations of Newton-Raphson՚s method (up to two decimal places) is …