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Determine order and degree (if defined) of differential equations given in ${{(\frac{{{d}^{2}}y}{d{{x}^{2}}})}^{3}}+{{(\frac{dy}{dx})}^{2}}+\sin (\frac{dy}{dx})+1=0$ is: (A) 3 (B) 2 (C) 1 (D) Not defined

Given:  ……….(i)

This equation is not a polynomial in derivatives as  is a T-function of derivative 

Therefore, degree of given equation is not defined.

Hence, The correct option is option (D).