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Question
Choose the correct alternative.
The order and degree of `[ 1+ (dy/dx)^3]^(2/3) = 8 (d^3y)/dx^3` are respectively.
Options
3, 1
1, 3
3, 3
1, 1
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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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