Question:medium

If \( \dfrac{d^2y}{dx^2} = \cos \left(\dfrac{dy}{dx}\right) \), find the order and the degree of the resulting differential equation.

Show Hint

Degree of a differential equation exists only when the equation can be written as a polynomial in derivatives. If derivatives appear inside functions like \(\sin\), \(\cos\), or \(\log\), the degree is not defined.
Updated On: May 2, 2026
  • Order \(2\), Degree \(4\)
  • Cannot be determined
  • Order \(3\), Degree \(1\)
  • Data Insufficient
  • None of these
Show Solution

The Correct Option is

Solution and Explanation

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