Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics & CE (EC)]: Questions 51 - 58 of 127

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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 ________.

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Question 52

Appeared in Year: 2016

Question Numeric Answer▾

The integral is equal to

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Question 53

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.

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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

a.

b.

c.

d.

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Question 55

Appeared in Year: 2015

Question Numeric Answer▾

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

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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.

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Question 57

Appeared in Year: 2015

Question Numeric Answer▾

Consider the differential equation

Given and , where the value of is …

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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 …

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