Teaching UP TGT Mock Test Series 2025 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
\(\frac{\pi }{{2}}\)