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Family y = Ax + A3 of curves will correspond to a differential equation of order ______. - Mathematics

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प्रश्न

Family y = Ax + A3 of curves will correspond to a differential equation of order ______.

विकल्प

  • 3

  • 2

  • 1

  • Not defined

MCQ
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उत्तर

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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अध्याय 9: Differential Equations - Exercise [पृष्ठ १९९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 9 Differential Equations
Exercise | Q 60 | पृष्ठ १९९

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