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Question
The degree of the differential equation `sqrt(1 + (("d"y)/("d"x))^2)` = x is ______.
Solution
The degree of the differential equation `sqrt(1 + (("d"y)/("d"x))^2)` = x is 2.
Explanation:
The given differential equation is `sqrt(1 + (("d"y)/("d"x))^2)` = x
Squaring both sides, we get
`1 + (("d"y)/("d"x))^2 = x^2`
So, the degree of the equation is 2.
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