8.1.1.87 First order differential equations

condition: Solve first order differential equations. If the initial conditions are given, then find a particular solution that satisfies them. a) \( \sqrt{9-x^{2}} d y-y d x=0, \quad x_{0}=\frac{3}{2}, \quad y_{0}=1 \), b) \( \frac{x y^{\prime}-y}{x}=\tan \frac{y}{x} \) c) \( y^{\prime}+y=e^{x} \sin x \).