In each of the following differential equations, indicate its degree, wherever possible. Also, give the order of each of them
`y^(iv)+y'''+y''+y'+y=0`.

Answer

To solve the problem, we need to determine the order and degree of the given differential equation:

**Given Differential Equation:**
\[ y^{(iv)} + y''' + y'' + y' + y = 0 \]

### Step 1: Identify the Order
The order of a differential equation is defined as the highest derivative present in the equation.

- In this equation, we have:
- \( y^{(iv)} \) (the fourth derivative of \( y \))
- \( y''' \) (the third derivative of \( y \))
- \( y'' \) (the second derivative of \( y \))
- \( y' \) (the first derivative of \( y \))
- \( y \) (the zeroth derivative of \( y \))

The highest derivative here is \( y^{(iv)} \), which is the fourth derivative.

**Order: 4**

### Step 2: Identify the Degree
The degree of a differential equation is defined as the power of the highest derivative when the equation is a polynomial in derivatives.

- In our equation, the highest derivative \( y^{(iv)} \) is raised to the power of 1 (since it appears as \( y^{(iv)} \) without any exponent).

**Degree: 1**

### Final Answer
- **Order:** 4
- **Degree:** 1

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