degree of the differential equation -1

Calculus Level 3

What is the degree of the differential equation \[y=1+\frac{dy}{dx} +\frac{1}{2!}.\left( \frac{dy}{dx} \right)^2+\frac{1}{3!}.\left( \frac{dy}{dx} \right)^3+\frac{1}{4!}.\left( \frac{dy}{dx} \right)^4+......\]

Note : If degree is not defined, write \(1729\) as your answer.

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