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Determine the order and degree (if defined) of the differential equation: ( y′′′) + (y″)3 + (y′)4 + y5 = 0

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प्रश्न

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

( y′′′) + (y″)3 + (y′)4 + y5 = 0

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उत्तर

( y′′′) + (y″)3 + (y′)4 + y5 = 0

The highest-order derivative is y′′′, which has a degree of 2.

Thus, the provided differential equation has order 3 and degree 2.

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अध्याय 9: Differential Equations - Exercise 9.1 [पृष्ठ ३८२]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 9 Differential Equations
Exercise 9.1 | Q 6 | पृष्ठ ३८२

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