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Consider the following statements in res...

Consider the following statements in respect of the differential equation
` (d^(2)y)/(dx^(2)) + cos ((dy)/(dx))=0`
1. The degree of the differential equation is not defined.
2. The order of the differential equation is 2.

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C
Statement 1 : Differential equation is not a polynomial eqaution in its derivatives So, its degree is not defined.
Statement 2 : The highest order derivative in the given polynomial is 2.
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Knowledge Check

  • Consider the following statements in respect of the differential equation (d^(2) y)/(dx^(2)) + cos ((dy)/(dx)) = 0 I . The degree of the differential equation is not defined . II . The order of the differential equation is 2l Which of the above statement is/are correct ?

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