Fourier transform analysis using Library of transforms. Consider a one degree-of-freedom damped spring-mass system governed by the differential equation y 2y 26y = 26u, where y is the position of the mass and u is a force that is applied to the mass. The force input is u(t) = et(t). Solve for y on the time interval (,) using a Fourier transform approach. Graph y on the interval [3, 3] second. Hint: Once y is determined, use a partial fraction expansion and the Fourier transform "Library" to reverse-engineer the time functions associated with the terms in the partial fraction expansion