Question 1:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is four.
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.
Question 2:
Determine order and degree(if defined) of differential equation
Answer:
The given differential equation is:
The highest order derivative present in the differential equation is . Therefore, its order is one.
It is a polynomial equation in . The highest power raised to is 1. Hence, its degree is one.
Question 3:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the given differential equation is . Therefore, its order is two.
It is a polynomial equation in and . The power raised to is 1.
Hence, its degree is one.
Question 4:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the given differential equation is . Therefore, its order is 2.
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.
Question 5:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is two.
It is a polynomial equation in and the power raised to is 1.
Hence, its degree is one.
Question 6:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is three.
The given differential equation is a polynomial equation in .
The highest power raised to is 2. Hence, its degree is 2.
Question 7:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is three.
It is a polynomial equation in . The highest power raised to is 1. Hence, its degree is 1.
Question 8:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is one.
The given differential equation is a polynomial equation in and the highest power raised to is one. Hence, its degree is one.
Question 9:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is two.
The given differential equation is a polynomial equation in and and the highest power raised to is one.
Hence, its degree is one.
Question 10:
Determine order and degree(if defined) of differential equation
Answer:
The highest order derivative present in the differential equation is . Therefore, its order is two.
This is a polynomial equation in and and the highest power raised to is one. Hence, its degree is one.
Question 11:
The degree of the differential equation
is
(A) 3 (B) 2 (C) 1 (D) not defined
Answer:
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
is
(A) 2 (B) 1 (C) 0 (D) not defined
Answer:
The highest order derivative present in the given differential equation is . Therefore, its order is two.
Hence, the correct Answer is A.