8.1.1.131 First order differential equations

condition: 1) Determine the type of first order differential equation. 2) Find the general solution to the differential equation. 3) Find its particular solution that satisfies the initial condition \( y\left(x_{0}\right)=y_{0} \) \[ 2 x y y^{\prime}=y^{2}-x^{2}, y(1)=1 \]