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प्रश्न
For the following equations, determine its order, degree (if exists)
`(("d"^2y)/("d"x^2))^3 = sqrt(1 + (("d"y)/("d"x)))`
उत्तर
`(("d"^2y)/("d"x^2))^3 = sqrt(1 + (("d"y)/("d"x)))`
On squaring both sides, we get
`(("d"^2y)/("d"x^2))^(3 xx 2) = 1 + (("d"y)/("d"x))`
`(("d"^2y)/("d"x^2))^6 = 1 + ("d"y)/("d"x)`
In this equation
The highest order derivative is `("d"^2y)/("d"x^2)` and its power is 6.
∴ Its order = 2 and degree = 6
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