8.1.1.121 First order differential equations

Condition: a) Determine the type of differential equation, b) Find the general solution of the differential equation, c) Find its particular solution that satisfies the initial condition \( y\left(x_{0}\right)=y_{0} \) \[ \left(x^{2}+1\right)\left(y^{\prime}-y\right)=2 e^{x}, \quad y(0)=0 \text {. } \]