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Find the order and degree of the following differential equation: x+dydx=1+(dydx)2 - Mathematics and Statistics

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Question

Find the order and degree of the following differential equation:

`x+ dy/dx = 1 + (dy/dx)^2`

Sum

Solution

`x+ dy/dx = 1 + (dy/dx)^2`

By definition of order and degree,

Order : 1 ; Degree : 2

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Chapter 8: Differential Equation and Applications - Miscellaneous Exercise 8 [Page 172]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 4.01 | Page 172

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