Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 11 of Exercise 9.1

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11

The degree of the differential equation

is

It is given that equation is


We can see that the highest order derivative present in the given differential equation is.


Thus, its order is three.


The given differential equation is not a polynomial equation in its derivative.


Therefore, its degree is not defined.

11

Chapter Exercises

Exercise 9.1
Exercise 9.2
Exercise 9.3
Exercise 9.4
Exercise 9.5
Exercise 9.6
Miscellaneous Exercise

More Exercise Questions

1

Determine order and degree (if defined) of differential equations given
2

Determine order and degree (if defined) of differential equations given

y′ + 5y = 0
3

Determine order and degree (if defined) of differential equations given
4

Determine order and degree (if defined) of differential equations given
5

Determine order and degree (if defined) of differential equations given
6

Determine order and degree (if defined) of differential equations given

(y″′)2 + (y″)3 + (y′)4 + y5 = 0
7

Determine order and degree (if defined) of differential equations given

y″′ +2y” + y’ = 0
8

Determine order and degree (if defined) of differential equations given

y′ + y = ex
9

Determine order and degree (if defined) of differential equations given

y″ + (y′) + 2y = 0
10

Determine order and degree (if defined) of differential equations given

y″ + 2y′ + sin y = 0
11

The degree of the differential equation

is
12

The order of the differential equation

is