Solve the differential equation `(dy)/(dx)=(x(2logx+1))/(siny+ycosy)`, given that `y=0,w h e nx=1.`

Explanation

To solve the differential equation

\[ \frac{dy}{dx} = \frac{x(2 \log x + 1)}{\sin y + y \cos y} \]

with the initial condition \( y = 0 \) when \( x = 1 \), we will follow these steps:

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