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Tamil Nadu Board of Secondary EducationHSC Science Class 12

For the following equations, determine its order, degree (if exists) ddddd2ydx2=xy+cos(dydx)

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Question

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

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

Sum
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Solution

In this equation

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

It has a term `cos(("d"y)/("d"x))`

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

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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. (viii) | Page 148
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