Solve the differential equation: `y \ sec^2x+(y+7)\tanx(dy)/(dx)=0`

Explanation

To solve the differential equation \( y \sec^2 x + (y + 7) \tan x \frac{dy}{dx} = 0 \), we will follow these steps:

### Step 1: Rearranging the Equation
We start by rewriting the given equation to isolate \(\frac{dy}{dx}\):

\[ (y + 7) \tan x \frac{dy}{dx} = -y \sec^2 x \]
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