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The order and degree of the differential equation  are respectively

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NDA (Held On: 6 Sep 2020) Maths Previous Year paper
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  1. 1 and 1
  2. 2 and 3
  3. 2 and 4
  4. 1 and 4

Answer (Detailed Solution Below)

Option 2 : 2 and 3
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Detailed Solution

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Concept:

Order: The order of a differential equation is the order of the highest derivative appearing in it.

Degree: The degree of a differential equation is the power of the highest derivative occurring in it, after the Equation has been expressed in a form free from radicals as far as the derivatives are concerned.

 

Calculation:

Here, 

Differentiation with respect to x, we get

Taking cube on both sides, we get 

So order = 2 and degree = 3

Hence, option (2) is correct.

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