Try to express the equation as a polynomial function of the derivatives. Degree is not defined for terms of the form $\sin(\frac{dy}{dx})$ because, on expanding the sinusoid, the degree of the highest power goes to infinity. I assume by differential equation, you mean ordinary differential equation (differential equations involving a function of a single variable and its derivatives). In order to find the degree corresponding to the differential equation, first bring it to its standard form.

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