Solve the initial value problem: `cos(x+y)dy=dx ,y(0)=0.`

Explanation

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

### Step 1: Rewrite the equation
We start with the equation:
\[ \cos(x+y) dy = dx \]
We can rearrange this to separate the variables:
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