# Determine the order and degree of the following differential equation: dydxdydxd4ydx4+sin(dydx)=0 - Mathematics and Statistics

Sum

Determine the order and degree of the following differential equation:

("d"^4"y")/"dx"^4 + sin ("dy"/"dx") = 0

#### Solution

The given D.E. is

("d"^4"y")/"dx"^4 + sin ("dy"/"dx") = 0

This D.E. has highest order derivative ("d"^4"y")/"dx"^4.

∴ order = 4

Since this D.E. cannot be exprressed as a polynomial in differential coefficient, the degree is not defined.

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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 1.5 | Page 216