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 | |
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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 …
EditQuestion 6
Appeared in Year: 2016
Question Numeric Answer▾
The region specified by in cylindrical coordinates has volume of …
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