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The order and degree of (dydx)3-d3ydx3+yex = 0 are ______. - Mathematics and Statistics

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Question

The order and degree of `((dy)/(dx))^3 - (d^3y)/(dx^3) + ye^x` = 0 are ______.

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Solution

The order and degree of `((dy)/(dx))^3 - (d^3y)/(dx^3) + ye^x` = 0 are order = 3, degree = 1.

Explanation:

Here, the highest order derivative is `(d^3y)/(dx^3)` with power 1.

∴ Order = 3 and degree = 1

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