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The order and degree of the differential equation dddddd(d3ydx3)2-3d2ydx2+2(dydx)4 = y4 are ______. - Mathematics

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प्रश्न

The order and degree of the differential equation `(("d"^3y)/("d"x^3))^2 - 3 ("d"^2y)/("d"x^2) + 2(("d"y)/("d"x))^4` = y4 are ______.

विकल्प

  • 1, 4

  • 3, 4

  • 3, 4

  • 3, 2

MCQ
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उत्तर

The order and degree of the differential equation `(("d"^3y)/("d"x^3))^2 - 3 ("d"^2y)/("d"x^2) + 2(("d"y)/("d"x))^4` = y4 are 3, 2.

Explanation:

The given differential equation is `(("d"^3y)/("d"x^3))^2 - 3 ("d"^2y)/("d"x^2) + 2(("d"y)/("d"x))^4` = y4 

Here the highest derivative is `("d"^3y)/("d"x^3)`.

∴ The order of the differential equation is 3 and since, the power of the highest order is 2.

∴ Its degree is 2.

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अध्याय 9: Differential Equations - Exercise [पृष्ठ २००]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 9 Differential Equations
Exercise | Q 67 | पृष्ठ २००

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