Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: `((dy)/(dx))^2+1/(dy//dx)=2`

Explanation

To determine the order and degree of the given differential equation, as well as to classify it as linear or non-linear, we will follow these steps:

### Step 1: Rewrite the Differential Equation
The given differential equation is:
\[ \left(\frac{dy}{dx}\right)^2 + \frac{1}{\frac{dy}{dx}} = 2 \]
To simplify, let \( p = \frac{dy}{dx} \). Then we can rewrite the equation as:
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