Maharashtra State BoardHSC Arts 12th Board Exam
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Determine the order and degree of the following differential equation: dydxdydx(d3ydx3)2=1+dydx5 - Mathematics and Statistics

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Sum

Determine the order and degree of the following differential equation:

`(("d"^3"y")/"dx"^3)^2 = root(5)(1 + "dy"/"dx")`

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Solution

The given D.E. is

`(("d"^3"y")/"dx"^3)^2 = root(5)(1 + "dy"/"dx")`

`(("d"^3"y")/"dx"^3)^(2xx5) = 1 + "dy"/"dx"`

`(("d"^3"y")/"dx"^3)^10 = 1 + "dy"/"dx"`

This D.E. has highest order derivative `("d"^3"y")/"dx"^3` with power 10.

∴ the given D.E. is of order 3 and degree 10.

Concept: Order and Degree of a Differential Equation
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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 2 | Q 1.2 | Page 216
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