I have solve this differential equation :
$\left\{\begin{aligned}\frac{dy}{dx} + y &= f(x) \\ y (0)&=0. \end{aligned}\right.$ where $f (x) = \begin{cases}2 & \text{if } 0 \leq x < 1 \\ 0 &\text{if }x \geq 1.\end{cases}$
Please explain how to solve as it involves discontinuous function $f$.