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

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Question

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

y′′′ + 2y″ + y′ = 0

Short/Brief Note
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Solution

y′′′ + 2y″ + y′ = 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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Chapter 9: Differential Equations - Exercise 9.1 [Page 382]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 9 Differential Equations
Exercise 9.1 | Q 7 | Page 382

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