The degree and the order of the differential equation  are:

  1. 2 and 3.
  2. 3 and 2.
  3. 2 and 2.
  4. 3 and 3.

Answer (Detailed Solution Below)

Option 3 : 2 and 2.
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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Concept:

Order of a differential equation is the highest order of derivative that occurs in the differential equation.

Degree of a differential equation is the highest power of the highest order derivative that occurs in the equation, after all the derivatives are converted into rational and radical free form.

 

Calculation:

Getting rid of the radicals by raising both the sides to power 3 will give us:

.

The highest derivative in it is , therefore its order is 2.

And, the highest power of this derivative in the equation is also 2, therefore its degree is also 2.

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