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Determine the order and degree (if defined) of the differential equation: y″ + 2y′ + sin y = 0 - Mathematics

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प्रश्न

Determine the order and degree (if defined) of the differential equation:

y″ + 2y′ + sin y = 0

संक्षेप में उत्तर
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उत्तर

y″ + 2y′ + sin y = 0

The highest-order derivative present in the differential equation is y″.

Therefore, its order is two.

This is a polynomial equation in y″ and y' and the highest power raised to y' is one.

Hence, its degree is one.

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अध्याय 9: Differential Equations - Exercise 9.1 [पृष्ठ ३८३]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 9 Differential Equations
Exercise 9.1 | Q 10 | पृष्ठ ३८३

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