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Question
Determine the order and degree of the following differential equation:
`("d"^4"y")/"dx"^4 + sin ("dy"/"dx") = 0`
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Solution
The given D.E. is
`("d"^4"y")/"dx"^4 + sin ("dy"/"dx") = 0`
This D.E. has highest order derivative `("d"^4"y")/"dx"^4`.
∴ order = 4
Since this D.E. cannot be exprressed as a polynomial in differential coefficient, the degree is not defined.
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