Q11 of 118 Page 382

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.

More from this chapter

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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

 12

The order of the differential equation

is

 1

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

y = ex + 1 : y′′ – y′ = 0