हिंदी

The order and degree of the differential equation ddddd2ydx2+(dydx)14+x15 = 0, respectively, are ______.

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प्रश्न

The order and degree of the differential equation `("d"^2y)/("d"x^2) + (("d"y)/("d"x))^(1/4) + x^(1/5)` = 0, respectively, are ______.

विकल्प

  • 2 and not defined

  • 2 and 2

  • 2 and 3

  • 3 and 3

MCQ
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उत्तर

The order and degree of the differential equation `("d"^2y)/("d"x^2) + (("d"y)/("d"x))^(1/4) + x^(1/5)` = 0, respectively, are 2 and not defined.

Explanation:

Given differential equation is 

`("d"^2y)/("d"x^2) + (("d"y)/("d"x))^(1/4) + x^(1/5)` = 0

⇒ `("d"^2y)/("d"x^2) + (("d"y)/("d"x))^(1/4) = - x^(1/5)`

Since the degree of `("d"y)/("d"x)` is in fraction.

So, the degree of the differential equation is not defined as the order is 2.

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अध्याय 9: Differential Equations - Exercise [पृष्ठ १९५]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 9 Differential Equations
Exercise | Q 36 | पृष्ठ १९५

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