Which of the following is a differential equa | vedclass

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(C) The order of a differential equation is the highest derivative present,and the degree is the power of the highest derivative when the equation is

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$dy + dx = 0$

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(C) The order of a differential equation is the highest derivative present,and the degree is the power of the highest derivative when the equation is expressed as a polynomial in derivatives.Option $(a)$: $x\left( \frac{dy}{dx} \right)^2 - x + a = 0$ is of first order and second degree.Option $(b)$: $\frac{d^2y}{dx^2} + xy = 0$ is of second order and first degree.Option $(c)$: $dy + dx = 0$ can be written as $\frac{dy}{dx} + 1 = 0$. This equation involves only the first derivative $\frac{dy}{dx}$ with power $1$. Thus,it is of first order and first degree.Therefore,the correct option is $(c)$.

Which of the following is a differential equation of first order and first degree?

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