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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Find the order and degree of the following diff erential equation: (2 – y”)2 = y”2 + 2y’ - Business Mathematics and Statistics

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Question

Find the order and degree of the following diff erential equation:

(2 – y”)2 = y”2 + 2y’

Sum

Solution

(2)2 – 2(2)(y”) + (y”)2 = (y”)2 + 2y’

4 – 4y” = 2y’

Highest order derivative is y”

∴ Order = 2

Power of the highest order derivative y” is 2

∴ Degree = 2

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Formation of Ordinary Differential Equations
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Chapter 4: Differential Equations - Exercise 4.1 [Page 85]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 4 Differential Equations
Exercise 4.1 | Q 1. (vi) | Page 85
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