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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Find the order and degree of the following differential equation: ddddddd3ydx3+3(dydx)3+2dydx = 0 - Business Mathematics and Statistics

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Question

Find the order and degree of the following differential equation:

`("d"^3y)/("d"x^3) + 3 (("d"y)/("d"x))^3 + 2 ("d"y)/("d"x)` = 0

Sum

Solution

Highest order derivative is `("d"^3y)/("d"x^3)`

∴ Order = 3

Power of the highest order derivative `("d"^3y)/("d"x^3)` is 1

∴ Degree = 1

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Formation of Ordinary Differential Equations
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Chapter 4: Differential Equations - Exercise 4.1 [Page 84]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 4 Differential Equations
Exercise 4.1 | Q 1. (ii) | Page 84
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