Explanation:
(B) : Given, the differential equation,
\(y=x\left(\frac{d y}{d x}\right)^{3}+\frac{d^{2} y}{d x^{2}} \Rightarrow y=x\left(\frac{d y}{d x}\right)^{3}+\left(\frac{d^{2} y}{d x^{2}}\right)^{1}\)
We know that,
Order \(=\) higher derivative,
and, \(\quad\) degree \(=\) degree of higher derivative,
Then, \(\quad\) order \(=2\) and degree \(=1\)
So, \(\quad\) order + degree \(=2+1=3\)