See Details for more. > Next question Get a similar question You can retry this question below Given the differential equation 5t - 6t y'' 16y= 10e - 2e- y(0) = 0, y'(0) = -1 9 Apply the Laplace Transform and solve for Y(s) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L ¹{Y(s)} 43 180 y(t) = e¹t 5 4 -5t e-1t+ -6t + 10 e X