So I been stuck in this problem for quite a while The current I(t) in a series circuit RLC is ruled by initial value:
$$I''(t)+2I'(t)+2I(t)=g(t), \ \ I(0)=10; I'(0)=0$$
where $$g(t)={(20; 0< t< 3 \pi),(0; 3\pi \le t < 4\pi),(20;4pi<t):}$$
What i know for the most part is that it uses Laplace Transform.