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**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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