Solve the following differential equation: `cos^2x(dy)/(dx)+\ y=tanx`

Explanation

To solve the differential equation \( \cos^2 x \frac{dy}{dx} + y = \tan x \), we will follow these steps:

### Step 1: Rewrite the Differential Equation
First, we will divide the entire equation by \( \cos^2 x \) to simplify it:
\[ \frac{dy}{dx} + \frac{y}{\cos^2 x} = \frac{\tan x}{\cos^2 x} \]
This can be rewritten as:
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