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Determine the order and degree of the following differential equation: dydxdydxd4ydx4+sin(dydx)=0 - Mathematics and Statistics

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प्रश्न

Determine the order and degree of the following differential equation:

`("d"^4"y")/"dx"^4 + sin ("dy"/"dx") = 0`

बेरीज
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उत्तर

The given D.E. is

`("d"^4"y")/"dx"^4 + sin ("dy"/"dx") = 0`

This D.E. has highest order derivative `("d"^4"y")/"dx"^4`.

∴ order = 4

Since this D.E. cannot be exprressed as a polynomial in differential coefficient, the degree is not defined.

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पाठ 6: Differential Equations - Miscellaneous exercise 2 [पृष्ठ २१६]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 6 Differential Equations
Miscellaneous exercise 2 | Q 1.5 | पृष्ठ २१६

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