Indicate the order of each of the following differential equations :
`y'+2y=sin x`

Answer

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

### Step 1: Identify the highest derivative
In the equation \( y' + 2y = \sin x \), we need to identify the highest derivative present.

### Step 2: Analyze the equation
The term \( y' \) represents the first derivative of \( y \) with respect to \( x \). There are no higher derivatives (like \( y'' \) or \( y''' \)) present in the equation.

### Step 3: Determine the order
The order of a differential equation is defined as the highest derivative present in the equation. Since the highest derivative here is \( y' \), which is the first derivative, the order of the differential equation is 1.

### Final Answer
The order of the differential equation \( y' + 2y = \sin x \) is **1**.

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