Maharashtra State BoardHSC Arts 12th Board Exam
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Determine the order and degree of the following differential equation: dydxdydxyxd2ydx2+5dydx+y=x3 - Mathematics and Statistics

Sum

Determine the order and degree of the following differential equation:

`("d"^2"y")/"dx"^2 + 5 "dy"/"dx" + "y" = "x"^3`

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Solution

The given D.E. is

`("d"^2"y")/"dx"^2 + 5 "dy"/"dx" + "y" = "x"^3`

This D.E. has highest order derivative `("d"^2"y")/"dx"^2` with power 1.

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

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 6 Differential Equations
Miscellaneous exercise 6 | Q 1.1 | Page 216
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