A. The degree of differential equation $\frac{d^2 y}{d x^2}+\sin \left(\frac{d y}{d x}\right)=0$ is 2. B. The degree of differential equation $\frac{d}{d x}\left(\frac{d y}{d x}\right)+\left(\frac{d y}{d x}\right)^3+\sin x=0$ is 1. C. The order of differential equation $2 x^2 \frac{d^2 y}{d x^2}-3 \frac{d y}{d x}+y=0$ is 2. D. The number of arbitrary constants in a particular solution of a differential equation of third order are 3. E. The integrating factor of the differential equation $\frac{d y}{d x}-y=\cos x$ is $e^{-x}$.
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