User:Verin Sedai/sandbox

$$ y_p(t)={{e^{(i-1)t}} \over {2i}} \int\limits_{0}^{t} e^{(i-1)s}f(s) ds - {{e^{(-i-1)t}} \over {2i}} \int\limits_{0}^{t} e^{(i+1)s}f(s) ds $$