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Class 12 Mathematics - Chapter 9: Differential Equations MCQ Questions

25 Questions 50 Minutes
Answered: 0 / 25Unanswered: 25

Your Class 12 Mathematics Study Path

  1. 1LearnNCERT Solutions
  2. 2PracticeChapter MCQs
  3. 3TestChapter Test
  4. 4PrepareSample Papers
  5. 5Exam PracticePrevious-Year Papers
  6. 6Final CheckMock Test
Question 1

The differential equation which represents the family of curves y = ec2x, where c1 and c2 are arbitrary constants, is:

Question 2

((frac { dy }{dx}))² – x (frac { dy }{dx}) + y = 0 is

Question 3

(1 – y²) (frac { dy }{dx}) + yx = ay(-1 < y < 1) is

Question 4

The integrating factor of the differential equation x(frac { dy }{dx}) – y = 2x² is

Question 5

Which of the following differential equations has y = c1 ex+ c2 e-x as the general solution?

Question 6

The number of arbitrary constants in the general solution of a differential equation of fourth order is:

Question 7

((frac { d^2y }{dx^2}))³ + ((frac { dy }{dx}))² + sin ((frac { dy }{dx})) + 1 = 0 is

Question 8

(frac { d^2y }{dx^2}) + 3((frac { dy }{dx}))² = x² log ((frac { d^2y }{dx^2})) is

Question 9

x(frac { dy }{dx}) + 2y = x² is

Question 10

If the firm employs 25 more workers, then the new level of production of items is:

Question 11

The degree of the differential equation representing the family of curves (x – a)² + y² = 16 is

Question 12

The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 is

Question 13

Which of the following differential equations has y = x as one of its particular solutions?

Question 14

The number of arbitrary constants in the particular solution of a differential equation of third order is:

Question 15

cos x dy = y (sin x – y) dx, 0 < x < (frac { Ï€ }{2}) is

Question 16

The general solution of the differential equation (frac { dy }{dx}) = ex+y is

Question 17

Which of the following differential equations cannot be solved, using variable separable method?

Question 18

[1 + ((frac { dy }{dx}))²]² = (frac { d^2y }{dx^2})

Question 19

2x (frac { dy }{dx}) – y = 3 represents a family of:

Question 20

Which of the following is a homogeneous differential equation?

Question 21

ex dy + (y ex + 2x) dx = 0 is

Question 22

A homogeneous differential equation of the form (frac { dy }{dx}) = h((frac { x }{y})) can be solved by making the substitution.

Question 23

The general solution of the differential equation (frac { y dx – x dy }{y}) = 0 is

Question 24

2x² (frac { d^2y }{dx^2}) – 3 (frac { dy }{dx}) + y = 0 is

Question 25

The general solution of a differential equation of the type (frac { dy }{dx}) + P1 x = Q1 is:

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