Check whether the following equation is a solution to one dimensional wave equation. `y-4x-7t`

Explanation

To check whether the equation \( y = 4x - 7t \) is a solution to the one-dimensional wave equation, we will follow these steps:

### Step 1: Identify the wave equation
The one-dimensional wave equation is given by:
\[ \frac{\partial^2 y}{\partial t^2} = v^2 \frac{\partial^2 y}{\partial x^2} \]
where \( v \) is the wave velocity.
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