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Determine the order and degree of the following differential equation: dydxdydxxd2ydx2+(dydx)2+7x+5=0

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प्रश्न

Determine the order and degree of the following differential equation:

`("d"^2"y")/"dx"^2 + ("dy"/"dx")^2 + 7"x" + 5 = 0`

योग
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उत्तर

The given D.E. is

`("d"^2"y")/"dx"^2 + ("dy"/"dx")^2 + 7"x" + 5 = 0`

This D.E. has highest order derivative `("d"^2"y")/"dx"^2` with power 1.

∴ the given D.E. has order 2 and degree 1.

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अध्याय 6: Differential Equations - Exercise 6.1 [पृष्ठ १९३]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 6 Differential Equations
Exercise 6.1 | Q 5 | पृष्ठ १९३

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