The linear displacement (y) of a particle varies with time as `y = (a sin omega t + b cos omega t)`. State whether the particle is executing SHM or not.

Explanation

To determine whether the particle is executing Simple Harmonic Motion (SHM) based on the given displacement equation \( y = a \sin(\omega t) + b \cos(\omega t) \), we will follow these steps:

### Step 1: Understand the Equation of Motion
The displacement of the particle is given by:
\[ y = a \sin(\omega t) + b \cos(\omega t) \]
where \( a \) and \( b \) are constants, and \( \omega \) is the angular frequency.

### Step 2: Differentiate to Find Velocity
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