Mathematics Differential Equations Solution of Differential Equations

Find the value of \(y(\frac{1}{2})\) for the differential equation \(dy = x\sec \frac{y}{x}dx + \frac{y}{x}dx\), with the initial condition \(y(1) = \frac{π}{2}\)?

1
\(\frac{\pi }{{12}}\)
2
\(\frac{\pi }{{6}}\)
3
0
4
\(\frac{\pi }{{2}}\)

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