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Question
The order and degree of the differential equation `[1 + ((dy)/(dx))^2] = (d^2y)/(dx^2)` are ______.
Options
`2, 3/2`
2, 3
2, 1
3, 4
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Solution
The order and degree of the differential equation `[1 + ((dy)/(dx))^2] = (d^2y)/(dx^2)` are 2, 1.
Explanation:
The given differential equation is `1 + ((dy)/(dx))^2 = (d^2y)/(dx^2)`
Here, the highest derivative is 2
∴ Order = 2 and the power of the highest derivative is 1.
∴ Degree = 1.
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