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Question
Write the degree of the differential equation \[\left( \frac{d^2 y}{d x^2} \right)^2 + \left( \frac{dy}{dx} \right)^2 = x\sin\left( \frac{dy}{dx} \right)\]
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Solution
The given differential equation is not a polynomial equation in derivatives.
Hence, the degree for this differential equation is not defined.
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