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Determine the order and degree (if defined) of the differential equation: d4ydx4+sin(y′)=0

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Question

Determine the order and degree (if defined) of the differential equation:

`(d^4y)/(dx^4) + sin(y^("')) = 0`

Answer in Brief
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Solution

`(d^4y)/(dx^4) + sin(y^(′′′)) = 0`

`=> y^(′′′) + sin(y^(′′′)) = 0`

The highest order derivative present in the differential equation is `y^(′′′)` . Therefore, its order is four.

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

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Chapter 9: Differential Equations - Exercise 9.1 [Page 382]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.1 | Q 1 | Page 382

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