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MHT CET202615 April 2026Evening ShiftMathematicsDifferential EquationsActual

The order and degree of the differential equation 3 - ( d ^3 y d x^3 )^ 7 3 = ( d y d x )^5 are respectively

Options

  1. A3, 7
  2. B7, 3
  3. C5, 7
  4. D3, 5

Correct answer

A. 3, 7

Step-by-step solution

The given differential equation is 3 - ( d ^3 y d x^3 )^ 7 3 = ( d y d x )^5 . Rearranging the terms to isolate the fractional power, we get: ( d ^3 y d x^3 )^ 7 3 = 3 - ( d y d x )^5 Cubing both sides to remove the fractional power, we obtain: ( d ^3 y d x^3 )^7 = [3 - ( d y d x )^5 ]^3 The highest order derivative present in the equation is d ^3 y d x^3 , so the order is 3 . The power of the highest order derivative is 7 , so the degree is 7 . Answer: 3, 7

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