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Question
The degree of the differential equation `(("d"^2y)/("d"x^2))^2 + (("d"y)/("d"x))^2 = xsin(("d"y)/("d"x))` is ______.
Options
1
2
3
Not defined
Solution
The degree of the differential equation `(("d"^2y)/("d"x^2))^2 + (("d"y)/("d"x))^2 = xsin(("d"y)/("d"x))` is not defined.
Explanation:
The degree of the given differential equation is not defined because the value of sin`(("d"y)/("d"x))` on expansion will be in increasing power of `(("d"y)/("d"x))`.
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