8.1.2.12 Second order differential equations

Problem: Find the particular solution of the differential equation: \[ \tan x \cdot\left(x y^{\prime \prime}+y^{\prime}\right)=x y^{\prime}-1, x=\sqrt{e}, y=\frac{1}{2}, \quad y^{\prime}=\frac{1}{\sqrt{e}} \text {. } \] clip2net.com