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COMEDK202510 May 2025Morning ShiftMathematicsDifferential EquationsActual

The order of the differential equation d d x [ ( d y d x )^3 ]=0 is

Options

  1. A2
  2. B3
  3. C1
  4. Dnot defined

Correct answer

A. 2

Step-by-step solution

The given differential equation is d dx [ ( dy dx )^3 ] = 0 . Applying the chain rule to the derivative, we have 3 ( dy dx )^2 d^2y dx^2 = 0 . The order of a differential equation is defined as the order of the highest derivative present in the equation. In this equation, the highest derivative is d^2y dx^2 , which is a second-order derivative. Therefore, the order of the differential equation is 2 . Answer: 2

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