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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Find the order and degree of the following differential equation: ddddd2ydx2=y-dydx - Business Mathematics and Statistics

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Question

Find the order and degree of the following differential equation:

`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`

Sum

Solution

Highest order derivative is `("d"^2y)/("d"x^2)`

∴ Order = 2

Power of the highest order derivative `("d"^2y)/("d"x^2)` 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. (iii) | Page 85
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