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प्रश्न
For the following equations, determine its order, degree (if exists)
`(("d"^3y)/("d"x^3))^(2/3) - 3 ("d"^2y)/("d"x^2) + 5("d"y)/("d"x) + 4` = 0
उत्तर
Taking power 3 on both sides, we get
`(("d"^3y)/("d"x^3))^2 =( 3 ("d"^2y)/("d"x^2) - 5("d"y)/("d"x) - 4)^3`
In the equation (1)
The highest order derivative is `("d"^3y)/("d"x3` and its power is 2.
∴ Its order = 3 and degree = 2
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