imo class 12 differential equations

The order and degree of the differential equation d²y/dx² + (dy/dx)² + y = 0 are respectively:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The order and degree of the differential equation d²y/dx² + (dy/dx)² + y = 0 are respectively:

  • A. 2 and 1
  • B. 1 and 2
  • C. 2 and 2
  • D. 1 and 1

Answer: A) 2 and 1

Explanation: The highest order derivative is d²y/dx², so the order is 2. The power of the highest order derivative is 1, so the degree is 1.

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