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The order of the following differential equation d3ydx3+x(dydx)5=4log(d4ydx4) is ______. - Mathematics

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Question

The order of the following differential equation `(d^3y)/(dx^3) + x((dy)/(dx))^5 = 4 log ((d^4y)/(dx^4))` is ______.

Options

  • not defined

  • 3

  • 4

  • 5

MCQ
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Solution

The order of the following differential equation `(d^3y)/(dx^3) + x((dy)/(dx))^5 = 4 log ((d^4y)/(dx^4))` is 4.

Explanation:

The order of a differential equation is the highest derivative that appears in the equation. 

The highest derivative is `(d^4y)/(dx^4)`

The order of the differential equation is 4.

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2023-2024 (February) Delhi Set - 3
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