Find the sum of the order and the degree of the following differential equations:
$\frac{d^{2} y}{d x^{2}} \sqrt[3]{\frac{d y}{d x}} (1 + x) = 0$

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Solution

As the highest numbered derivative present in the equation is $2$ , thus the order of given differential equation is $2$ and the highest power to which the highest derivative is raised is $1$ , thus the degree of given differential equation is $1$ .
Therefore,
Order $+$ degree $= 2 + 1 = 3$

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