Indicate the order of each of the following differential equations :
`y'+y^(2)=y`.

Answer

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

### Step 1: Identify the differential equation
The given differential equation is:
\[ y' + y^2 = y \]

### Step 2: Rewrite the equation
We can rewrite the equation in a more standard form:
\[ y' = y - y^2 \]

### Step 3: Identify the derivatives
In this equation, \( y' \) represents the first derivative of \( y \) with respect to \( x \).

### Step 4: Determine the order
The order of a differential equation is defined as the highest derivative present in the equation. In our case, the only derivative present is \( y' \), which is the first derivative.

### Conclusion
Thus, the order of the given differential equation \( y' + y^2 = y \) is:
\[ \text{Order} = 1 \]

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