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# Learn Exercise 9.1 with Free Lessons & Tips

Determine order and degree(if defined) of differential equation

The highest order derivative present in the differential equation is. Therefore, its order is one.

The given differential equation is a polynomial equation inand the highest power raised tois one. Hence, its degree is one.

Determine order and degree(if defined) of differential equation

Order is defined as the order of the highest order derivative present in the equation.

So order of the given equation is 1

Degree is defined as the power of the highest order derivative in the given equation

So degree of the equation is 1

Determine order and degree(if defined) of differential equation

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.

Determine order and degree(if defined) of differential equation

The highest order derivative present in the differential equation is. Therefore, its order is two.

The given differential equation is a polynomial equation inandand the highest power raised tois one.

Hence, its degree is one.

The degree of the differential equation

is

(A) 3 (B) 2 (C) 1 (D) not defined

The given differential equation is not a polynomial equation in its derivatives. Therefore, its degree is not defined.

Hence, the correct answer is D.

Determine order and degree(if defined) of differential equation

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.

Determine order and degree(if defined) of differential equation

The highest order derivative present in the given differential equation is. Therefore, its order is two.

It is a polynomial equation inand. The power raised tois 1.

Hence, its degree is one.

Determine order and degree(if defined) of differential equation

The highest order derivative present in the differential equation is. Therefore, its order is two.

It is a polynomial equation inand the power raised tois 1.

Hence, its degree is one.

Determine order and degree(if defined) of differential equation

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 tois 2. Hence, its degree is 2.

Determine order and degree(if defined) of differential equation

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 tois 1. Hence, its degree is 1.

Determine order and degree(if defined) of differential equation

The highest order derivative present in the differential equation is. Therefore, its order is two.

This is a polynomial equation inandand the highest power raised tois one. Hence, its degree is one.

The order of the differential equation

is

(A) 2 (B) 1 (C) 0 (D) not defined

The highest order derivative present in the given differential equation is. Therefore, its order is two.

Hence, the correct answer is A.

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