Find the inverse Laplace transform of Solution separating in

Find the inverse Laplace transform of

Solution

separating into partial fractions =(6458-33s)/(954(s^2-18s+130))+(33s-140)/(954(s^2+4)) have 4 terms here (1/954){6458/((s-9)^2+7^2))-33s/((s-9)^2+7^2)+33s/(s^2+4)-140/(s^2+4) the answers of each laplace are in the order as given now taking laplace inverse gives e^(9t)(6161sin(7t)/7 -33cos(7t))/954+11cos(2t)/318-35sin(2t)/477