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NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations




In this page we have NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations for EXERCISE 9.1 . Hope you like them and do not forget to like , social share and comment at the end of the page.
Determine order and degree (if defined) of differential equation
Question 1)
 NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
Question 2)
 
 NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
Question 3)
NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
 
 
 
Question 4)
NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations 
 
Question 5)
NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
 


Question 6)
 NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
Question 7)
NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
Question 8)
NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
Question 9)
  NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
 
Question 10)
NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations
 
Solutions
 
S.no
Order
Degree
1
The highest order derivative present in the differential equation is y””. So, its
order is four
The given differential equation is not a polynomial equation in its derivatives. Hence, its
degree is not defined
2
The highest order derivative present in the differential equation is  dy/dx . So, its order
is one.
It is a polynomial equation in dy/dx . The highest power raised to is 1. Hence, its degree is one
3
The highest order derivative present in the given differential equation is d2s/dt2. So, its order is two
It is a polynomial equation in d2s/dt2 and ds/dt . The power raised to d2s/dt2   is 1.
Hence, its degree is one
4
The highest order derivative present in the given differential equation is d2y/dx2  .  So,
its order is 2
The given differential equation is not a polynomial equation in its derivatives. Hence, its
degree is not defined
5
 The highest order derivative present in the differential equation is d2y/dx2   . So, its
order is two
It is a polynomial equation in d2y/dx2    and the power raised to d2y/dx2    is 1.
Hence, its degree is one
6
The highest order derivative present in the differential equation is  y’’’. So, its order is three
The given differential equation is a polynomial equation in  y’’’ , y’’ and y The highest power raised to is 2. Hence, its degree is 2
7
The highest order derivative present in the differential equation is  y’’’. So, its order is three
The given differential equation is a polynomial equation in  y’’’ , y’’ and y The highest power raised to is 1. Hence, its degree is 1
8
The highest order derivative present in the differential equation is  y . So, its order is one.
 
The given differential equation is a polynomial equation in y and  the highest power raised to is one. Hence, its degree is one.
 
9
The highest order derivative present in the differential equation is y’’ . So, its order is two.
The given differential equation is a polynomial equation in y’’ and y  and the highest power raised to is one.
Hence, its degree is one.
10
The highest order derivative present in the differential equation is y’’ . So , its
order is two.
Degree is one
 
Question 11)
The degree of the differential equation

(A) 3
(B) 2
(C) 1
(D) not defined
Solution
The given differential equation is not a polynomial equation in its derivatives. Therefore,
its degree is not defined.
Hence, the correct answer is D.
 
Question 12)
The order of the differential equation

(A) 2
(B) 1
(C) 0
(D) not defined
Solution
The highest order derivative present in the given differential equation is d2y/dx2  . Therefore, its order is two.
So, the correct answer is A.
 
 

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