# 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. | ) |

## 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. |

## 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 |

## Question 4

Appeared in Year: *2015*

### Question MCQ▾

The solution of the differential equation with is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 5

Appeared in Year: *2016*

### Question Numeric Answer▾

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

Edit## Question 6

Appeared in Year: *2016*

### Question Numeric Answer▾

The region specified by in cylindrical coordinates has volume of …

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