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Tamil Nadu Board of Secondary EducationHSC Science Class 12

For the following equations, determine its order, degree (if exists) dddddd(d2ydx2)2+(dydx)2=xsin(d2ydx2) - Mathematics

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Question

For the following equations, determine its order, degree (if exists)

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

Sum

Solution

In the equation

The highest order derivative is `("d"^2)/("d"x^3)` and its order is 2.

It has a term `sin(("d"^2y)/("d"x^2))`

So its degree is not defined or degree does not exist.

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Differential Equation, Order, and Degree
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Chapter 10: Ordinary Differential Equations - Exercise 10.1 [Page 148]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 10 Ordinary Differential Equations
Exercise 10.1 | Q 1. (iii) | Page 148
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