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Identify the order: The order of a differential equation is the highest order derivative present in the equation. In this case, the highest order derivative is $\frac{d^{2}y}{dx^{2}}$, which is the second derivative. Therefore, the order is 2.
Identify the degree: The degree of a differential equation is the power of the highest order derivative, provided the equation is a polynomial equation in derivatives. However, in the given equation, we have the term $\sin(\frac{dy}{dx})$. Since the derivative is inside a trigonometric function, the equation is not a polynomial equation in derivatives, and therefore, the degree is not defined.
Conclusion: The order is 2, and the degree is not defined.
Correct Answer: 2, degree not defined