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Question
Determine the order and degree of the following differential equations.
`sqrt(1+1/(dy/dx)^2) = (dy/dx)^(3/2)`
Solution
`sqrt(1+1/(dy/dx)^2) = (dy/dx)^(3/2)`
Squaring on both sides, we get
`1 + 1/(dy/dx)^2 = (dy/dx)^3`
∴ `(dy/dx)^2 +1 = (dy/dx)^5`
By definition of order and degree,
Order : 1 ; Degree : 5
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