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Determine the order and degree of the following differential equations. d4ydx4+[1+(dydx)2]3 - Mathematics and Statistics

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Question

Determine the order and degree of the following differential equations.

`(d^4y)/dx^4 + [1+(dy/dx)^2]^3 = 0`

Sum

Solution

`(d^4y)/dx^4 + [1+(dy/dx)^2]^3 = 0`

By definition of order and degree,

Order : 4 ; 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] 12 Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.1 | Q 1.3 | Page 162

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