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

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

Engineering Mathematics
Theorems of Integral Calculus

Appeared in Year: 2016

Question

Numeric Answer▾

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

Numeric Answer▾

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

Numeric Answer▾

Consider the differential equation

Given and , where the value of is …

Question 58

Engineering Mathematics
First Order Equations

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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