Chapter 9 Differential Equations Ex 9.1 Solutions
Question - 1 : - Determine order and degree(if defined) ofdifferential equation 
Answer - 1 : -
The highest order derivative present in the differentialequation is
. Therefore, its order is four.
The given differential equation is not a polynomialequation in its derivatives. Hence, its degree is not defined.
Determine order and degree(if defined) ofdifferential equation 
Answer - 2 : -
The given differential equation is:
The highestorder derivative present in the differential equation is
. Therefore, its order is one.
It is a polynomial equation in. The highest power raised tois 1. Hence, its degree is one.
Question - 3 : - Determine order and degree(if defined) ofdifferential equation 
Answer - 3 : -
The highest order derivative present in the givendifferential equation is
. Therefore, its order is two.
It is apolynomial equation inand
. The power raised tois 1.
Hence, its degree is one.
Determine order and degree(if defined) ofdifferential equation 
Answer - 4 : -
The highest order derivative present in the givendifferential equation is
. Therefore, its order is 2.
The given differential equation is not a polynomialequation in its derivatives. Hence, its degree is not defined.
Determine order and degree(if defined) ofdifferential equation 
Answer - 5 : -
The highest order derivative present in the differentialequation is. Therefore, its order is two.
It is apolynomial equation inand the power raised tois 1.
Hence, its degree is one.
Determine order and degree(if defined) ofdifferential equation 
Answer - 6 : -
The highest order derivative present in the differentialequation is
. Therefore, its order is three.
The givendifferential equation is a polynomial equation in
.
The highest power raised tois 2. Hence, its degree is 2.
Determine order and degree(if defined) ofdifferential equation 
Answer - 7 : -
The highest order derivative present in the differentialequation is. Therefore, its order is three.
It is a polynomial equation in
. The highest power raised tois 1. Hence, its degree is 1.
Determine order and degree(if defined) ofdifferential equation 
Answer - 8 : -
The highest order derivative present in the differentialequation is
. Therefore, its order is one.
The given differential equation is a polynomial equationinand the highest power raised tois one. Hence, its degree is one.
Determine order and degree(if defined) ofdifferential equation 
Answer - 9 : -
The highest order derivative present in the differentialequation is
. Therefore, its order is two.
The givendifferential equation is a polynomial equation inandand the highest power raised tois one.
Hence, its degree is one.
Determine order and degree(if defined) ofdifferential equation 
Answer - 10 : -