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Differential Equations - 11 - Mathematics MCQ


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20 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics - Differential Equations - 11

Differential Equations - 11 for Mathematics 2024 is part of Topic-wise Tests & Solved Examples for IIT JAM Mathematics preparation. The Differential Equations - 11 questions and answers have been prepared according to the Mathematics exam syllabus.The Differential Equations - 11 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Differential Equations - 11 below.
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Differential Equations - 11 - Question 1

The equation x = A cos (pt - α) can be expressed as

Differential Equations - 11 - Question 2

Integrating factor of the DE (y2 + 2x2y)dx + (2x3 - xy)dy = 0 is

Differential Equations - 11 - Question 3

General solution of  is 

Differential Equations - 11 - Question 4

The c-discriminant when equated to zero includes nodal locus

Differential Equations - 11 - Question 5

Solve (D + 1) x + (D - 1) y = et, ( D2 + D + 1) x + (D2 - D + l)y  = t2 where D = d/dt

Differential Equations - 11 - Question 6

The number of arbitrary constants complete primitive of differential equation  contains

Differential Equations - 11 - Question 7

The solution of the equation  is

Differential Equations - 11 - Question 8

A solution of a differential equation which contains no arbitrary constants is

Differential Equations - 11 - Question 9

The solution of the differential equation,  when x = 0 is

Differential Equations - 11 - Question 10

Order and degree of the differential equation ey'" - xy" + y = 0 are respectively

Differential Equations - 11 - Question 11

Consider a general first order linear non-homogeneous ordinary differential equation with y = φ(x) as its solution.
Let ψ(x) be the solution of the associated homogeneous equation and C an arbitrary constant. Then, the general equation has the following solution.

Differential Equations - 11 - Question 12

Which One of the following is the solution of differential equation?

Differential Equations - 11 - Question 13

The solution of the differential equation y =  is

Differential Equations - 11 - Question 14

The differential equation (3a2x2 + by cos x) dx + (2 sin x - 4ay') dy = 0 is exact for

Differential Equations - 11 - Question 15

The orthogonal trajectory to the family of circles x2 + y2 = 2cx (c arbitrary) is describe by the differential equation,

Differential Equations - 11 - Question 16

Which of the following is/are integrating factor of the differential equation xdx + ydy = 0

Differential Equations - 11 - Question 17

The solution of (x + 1) dy/dx = 1 - e-y is

Differential Equations - 11 - Question 18

The differential equation  when solved with the condition y(0) = 0, yields the result

Differential Equations - 11 - Question 19

y = px - 2p2 find its singular solution

Differential Equations - 11 - Question 20

The solution of differential equation contains as many as arbitrary constant as the order of a differential equation, then the solution is said to be

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