Find the order and degree, if defined, of each of the following differential equations:(i) `(dy)/(dx)-cosx=0` (ii) `x y(d^2y)/(dx^2)+x((dy)/(dx))^2-y(dy)/(dx)=0` (iii) `y^(primeprimeprime)+y^2+e^(y^prime)=0`

Explanation

To find the order and degree of the given differential equations, we will analyze each equation step by step.

### (i) \( \frac{dy}{dx} - \cos x = 0 \)

**Step 1:** Identify the highest order derivative in the equation.
- The equation contains the first derivative \( \frac{dy}{dx} \).

**Step 2:** Determine the order.
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