$\begin{array}{1 1}2 \\ 1\\ 0 \\ un\;defined \end{array} $

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- The highest order derivative present in the differential equation determines the order of the equation.The power to which this derivative is raised determines the degree of the equation.

Step 1:

In the given problem the highest derivative present is $\large\frac{d^2y}{dx^2}$,hence its order is 2.

Step 2:

It is a polynomial equation in $y''$ and the highest power raised to $\large\frac{d^2y}{dx^2}$ is 1,so the degree is 1.

Step 3:

Hence the order is 2 and degree is 1.The correct option is A.

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