imo class 12 differential equations

For the differential equation x²(d²y/dx²)³ + y(dy/dx)⁴ + y⁴ = 0, the product of its order and degree is:

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For the differential equation x²(d²y/dx²)³ + y(dy/dx)⁴ + y⁴ = 0, the product of its order and degree is:

  • A. 2
  • B. 4
  • C. 6
  • D. 8

Answer: C) 6

Explanation: Highest order derivative is d²y/dx² (order 2). Its power is 3 (degree 3). The product is 2 × 3 = 6.

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