Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 1 of Exercise 9.1

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1

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

It is given that equation is

⇒ y”” + sin(y’’’) = 0


We can see that the highest order derivative present in the differential is y””.


Thus, its order is four. The given differential equation is not a polynomial equation in its derivative.


Therefore, its degree is not defined.


1

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