The degree of a differential equation is the power of higher ordered derivative when all the derivatives are made free form negative and / or fractional indices if any.

Answer

To determine the degree of a differential equation, we need to follow a systematic approach. Let's break it down step by step:

### Step 1: Identify the Differential Equation
First, we need to identify the given differential equation. For example, let's consider the equation:
\[ \left( \frac{d^2y}{dx^2} \right)^{\frac{1}{3}} = \frac{dy}{dx} \]

### Step 2: Eliminate Negative and Fractional Indices
The next step is to eliminate any negative or fractional indices. In our example, the left side has a fractional index of \( \frac{1}{3} \). To eliminate this, we can raise both sides of the equation to the power of 3:
\[ \left( \left( \frac{d^2y}{dx^2} \right)^{\frac{1}{3}} \right)^3 = \left( \frac{dy}{dx} \right)^3 \]
This simplifies to:
\[ \frac{d^2y}{dx^2} = \left( \frac{dy}{dx} \right)^3 \]

### Step 3: Identify the Order of the Differential Equation
The order of a differential equation is determined by the highest derivative present in the equation. In our simplified equation, the highest derivative is \( \frac{d^2y}{dx^2} \), which is of order 2.

### Step 4: Determine the Degree of the Differential Equation
The degree of a differential equation is the power of the highest order derivative after making all derivatives free from negative and fractional indices. In our case, the highest order derivative \( \frac{d^2y}{dx^2} \) has a power of 1. Therefore, the degree of the equation is 1.

### Final Result
Thus, for the given differential equation:
- **Order**: 2
- **Degree**: 1