Solve the following initial value problem: `(dy)/(dx)=ytanx ,\ y(0)=1`

Explanation

To solve the initial value problem given by the differential equation \(\frac{dy}{dx} = y \tan x\) with the initial condition \(y(0) = 1\), we can follow these steps:

### Step 1: Separate the variables
We start by rewriting the differential equation in a separable form:
\[ \frac{dy}{y} = \tan x \, dx \]

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