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Question
The order and degree of the differential equation `(("d"^3y)/("d"x^3))^2 - 3 ("d"^2y)/("d"x^2) + 2(("d"y)/("d"x))^4` = y4 are ______.
Options
1, 4
3, 4
3, 4
3, 2
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Solution
The order and degree of the differential equation `(("d"^3y)/("d"x^3))^2 - 3 ("d"^2y)/("d"x^2) + 2(("d"y)/("d"x))^4` = y4 are 3, 2.
Explanation:
The given differential equation is `(("d"^3y)/("d"x^3))^2 - 3 ("d"^2y)/("d"x^2) + 2(("d"y)/("d"x))^4` = y4
Here the highest derivative is `("d"^3y)/("d"x^3)`.
∴ The order of the differential equation is 3 and since, the power of the highest order is 2.
∴ Its degree is 2.
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