I am working on a problem that needs me to solve the Laplace transform on the equation, $$y'''+ 4y''-2y'+y=e^t \hspace{5mm} y(0) = 1, y'(0) = -1, y''(0) = 3.$$
I've gotten it down to the $Y(s)$ Laplace form, however, I am unsure on how to get the $y(t)$ function by using the inverse Laplace method.