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(D) The degree of a differential equation is defined only when it is a polynomial equation in terms of its derivatives. In the given equation,$\left(

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Not defined

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(D) The degree of a differential equation is defined only when it is a polynomial equation in terms of its derivatives. In the given equation,$\left( \frac{d^3y}{dx^3} \right)^2 + 4\left( \frac{dy}{dx} \right)^3 = 3\sin \left( \frac{d^2y}{dx^2} \right)$,the term $\sin \left( \frac{d^2y}{dx^2} \right)$ involves a transcendental function of a derivative. Since the equation cannot be expressed as a polynomial in terms of its derivatives,the degree is not defined.

The degree of the differential equation $\left( \frac{d^3y}{dx^3} \right)^2 + 4\left( \frac{dy}{dx} \right)^3 = 3\sin \left( \frac{d^2y}{dx^2} \right)$ is:

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