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Question
Family y = Ax + A3 of curves will correspond to a differential equation of order ______.
Options
3
2
1
Not defined
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Solution
Family y = Ax + A3 of curves will correspond to a differential equation of order 2.
Explanation:
The given equation is y = Ax + A3
Differentiating both sides, we get `("d"y)/("d"x)` = A
Again differentiating both sides,
We have `("d"^2y)/("d"x^2)` = 0
So the order of the differential equation is 2.
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