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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
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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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Chapter 10: Ordinary Differential Equations - Exercise 10.1 [Page 148]
