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Determine the order and degree (if defined) of the differential equation: y' + 5y = 0 - Mathematics

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प्रश्न

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

y' + 5y = 0

थोडक्यात उत्तर
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उत्तर

The given differential equation is:

y' + 5y = 0

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

Therefore, its order is one.

It is a polynomial equation in y'. The highest power raised to y' is 1. Hence, its degree is one.

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

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

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