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Determine the order and degree of the following differential equations. (d3ydx3)16=9 - Mathematics and Statistics

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Question

Determine the order and degree of the following differential equations.

`((d^3y)/dx^3)^(1/6) = 9`

Sum
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Solution

`((d^3y)/dx^3)^(1/6) = 9`

Taking sixth power on both sides, we get

`(d^3y)/dx^3 = 9^6`

By definition of order and degree,

Order : 3 ; Degree : 1

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Chapter 8: Differential Equation and Applications - Exercise 8.1 [Page 162]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.1 | Q 1.7 | Page 162

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