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Determine the order and degree of the following differential equation: dydx=2sinx+3dydx

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Question

Determine the order and degree of the following differential equation:

`(dy)/(dx) = (2sin x + 3)/(dy/dx)`

Sum
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Solution

The given Differential equation is

`(dy)/(dx) = (2sin x + 3)/((dy)/(dx))`

∴ `(dy/dx)^2` = 2 sin x + 3

This D.E. has highest order derivative `"dy"/"dx"` with power 2.

∴ The given D.E. is of order 1 and degree 2.

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Chapter 6: Differential Equations - Exercise 6.1 [Page 193]

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