Determine order and degree (if defined) of differential equations given`(yprimeprimeprime)^2+(yprimeprime)^3+(yprime)^4+y^5=0`

Explanation

To determine the order and degree of the given differential equation \( (y''')^2 + (y'')^3 + (y')^4 + y^5 = 0 \), we will follow these steps:

### Step 1: Identify the highest order derivative
The first step is to identify the highest order derivative present in the equation.

- The notation \( y''' \) represents the third derivative of \( y \) with respect to \( x \), which is \( \frac{d^3y}{dx^3} \).
- The notation \( y'' \) represents the second derivative of \( y \), which is \( \frac{d^2y}{dx^2} \).
- The notation \( y' \) represents the first derivative of \( y \), which is \( \frac{dy}{dx} \).
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