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

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Question

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

Options

  • 3, 1

  • 1, 3

  • 3, 3

  • 1, 1

MCQ
Fill in the Blanks
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Solution

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

Explanation:

`(dy)/(dx) + x` = c

Highest order derivative

`((d^3y)/(dx^3))^1 + ((d^2y)/(dx^2))^2`

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Chapter 1.8: Differential Equation and Applications - Q.1

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