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Question
For the following equations, determine its order, degree (if exists)
`y(("d"y)/("d"x)) = x/((("d"y)/("d"x)) + (("d"y)/("d"x))^3`
Solution
`y("d"y)/("d"x) = x/(("d"y)/("d"x) + (("d"y)/("d"x))^3`
`y ("d"y)/("d"x)[("d"y)/("d"x) + (("d"y)/("d"x))^3]` = x
`y(("d"y)/("d"x))^2 + y(("d"y)/("d"x))^4` = x
In this equation
The highest order derivative is `("d"y)/("d"x)` and its power is 4.
∴ Its order = 1 and degree =
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