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Comprehension

Direction : Consider the following for the items that follow :

Let ydx + (x - y3)dy = 0 be a differential equation.  

What are the order and degree respectively of the differential equation? 

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 1 and 1
  2. 1 and 2
  3. 2 and 1
  4. 1 and 3

Answer (Detailed Solution Below)

Option 1 : 1 and 1
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Detailed Solution

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Explanation:

Let ydx + (x – y3 ) dy = 0 be a differential equation.

Then, dy/dx = \(\frac{y}{y^3-x}\)

Thus, degree = 1

∴ Option (a) is correct

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