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Question
The sum of the order and the degree of the differential equation `d/dx[(dy/dx)^3]` is ______.
Options
2
3
5
0
Solution
The sum of the order and the degree of the differential equation `d/dx[(dy/dx)^3]` is 3.
Explanation:
`d/dx[(dy/dx)^3] = 3(dy/dx)^2 (d^2y)/(dx^2)`
Here order = 2 and degree = 1
∴ Sum of the order and the degree = 2 + 1 = 3.
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