# Choose the correct alternative. The order and degree of [1+(dydx)3]23=8d3ydx3 are respectively. - Mathematics and Statistics

MCQ

Choose the correct alternative.

The order and degree of [ 1+ (dy/dx)^3]^(2/3) = 8 (d^3y)/dx^3 are respectively.

• 3, 1

• 1, 3

• 3, 3

• 1, 1

#### Solution

The order and degree of [ 1+ (dy/dx)^3]^(2/3) = 8 (d^3y)/dx^3 are respectively - 3, 3

Explanation

[ 1+ (dy/dx)^3]^(2/3) = 8 (d^3y)/dx^3

Taking cube on both sides, we get

[ 1+ (dy/dx)^3]^(2/3) = 8^3 ((d^3y)/dx^3)^3

∴ By definition of order and degree,

Order : 3; Degree : 3

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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 1.02 | Page 171