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Question
Determine the order and degree of the following differential equation:
`root(3)(1 +("dy"/"dx")^2) = ("d"^2"y")/"dx"^2`
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Solution
The given D.E. is
`root(3)(1 +("dy"/"dx")^2) = ("d"^2"y")/"dx"^2`
On cubing both sides, we get
`1 +("dy"/"dx")^2 = (("d"^2"y")/"dx"^2)^3`
This D.E. has highest order derivative `("d"^2"y")/"dx"^2` with power 3.
∴ the given D.E. is of order 2 and degree 3.
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