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Question
Determine the order and degree (if defined) of the differential equation:
`(d^2y)/(dx^2)^2 + cos(dy/dx) = 0`
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Solution
`(d^2y)/(dx^2)^2 + cos(dy/dx) = 0`
The highest order derivative present in the given differential equation is `(d^2y)/(dx^2)`.
Therefore, its order is 2.
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.
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