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What are the value of α and β that make  an exact differential equation?

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UPSC IES Electrical 2022 Prelims Official Paper
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  1. α = -1, β = -2
  2. α = 1, β = -2
  3. α = -1, β = 2
  4. α = -2, β = -1

Answer (Detailed Solution Below)

Option 1 : α = -1, β = -2
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Detailed Solution

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Concept:

Consider an exact differential equation:

M dx + N dy = 0

The condition of an exact differential equation:

Calculation:

Given, 

 and 

α = -1, β = -2

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