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Determine the order and degree (if defined) of the differential equation: d2ydx2 = cos 3x + sin 3x

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Question

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

`(d^2y)/(dx^2)` = cos 3x + sin 3x

Short/Brief Note
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Solution

The highest-order derivative is `(d^2y)/(dx^2)`, with a degree of 1.

As a result, the provided differential equation has degree one and order two.

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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 5 | Page 382

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