NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.1 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.1.
- Differential Equations Class 12 Ex 9.2
- Differential Equations Class 12 Ex 9.3
- Differential Equations Class 12 Ex 9.4
- Differential Equations Class 12 Ex 9.5
- Differential Equations Class 12 Ex 9.6
Board | CBSE |
Textbook | NCERT |
Class | Class 12 |
Subject | Maths |
Chapter | Chapter 9 |
Chapter Name | Differential Equations |
Exercise | Ex 9.1 |
Number of Questions Solved | 12 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.1
Determine order and degree (if defined) of the differential equations given in Questions 1 to 10.
Ex 9.1 Class 12 Maths Question 1.
Solution:
Order of the equation is 4
It is not a polynomial in derivatives so that it
has not degree.
Ex 9.1 Class 12 Maths Question 2.
Solution:
It is a D.E. of order one and degree one.
Ex 9.1 Class 12 Maths Question 3.
Solution:
Order of the equation is 2.
Degree of the equation is
Ex 9.1 Class 12 Maths Question 4.
Solution:
It is a D.E. of order 2 and degree undefined
Ex 9.1 Class 12 Maths Question 5.
Solution:
It is a D.E. of order 2 and degree 1.
Ex 9.1 Class 12 Maths Question 6.
Solution:
Order of the equation is 3
Degree of the equation is 2
Ex 9.1 Class 12 Maths Question 7.
Solution:
The highest order derivative is y.
Thus the order of the D.E. is 3.
The degree of D.E is 1
Ex 9.1 Class 12 Maths Question 8.
Solution:
The order of the D. E. = 1 (highest order derivative)
The degree of the D.E. = 1.
Ex 9.1 Class 12 Maths Question 9.
Solution:
The highest derivative is 2.
Order of the D.E. = 2.
Degree of the D. E = 1
Ex 9.1 Class 12 Maths Question 10.
Solution:
Order of the equation is 2
Degree of the equation is 1
Ex 9.1 Class 12 Maths Question 11.
The degree of the differential equation
(a) 3
(b) 2
(c) 1
(d) not defined
Solution:
The degree not defined.
Because the differential equation can not be written as a polynomial in all the differential coefficients.
Hence option (d) is correct.
Ex 9.1 Class 12 Maths Question 12.
The order of the differential equation
(a) 2
(b) 1
(c) 0
(d) not defined
Solution:
Thus order of the D.E. = 2
Hence option (a) is correct.
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