(Gun barrel) Solve - 1/7 y"+y= -{ 0 if > TT. t y(0) = y'(0) = 0. This models an undamped system on which a force F acts during some interval of time (see Fig. 59), for instance, the force on a gun barrel when a shell is fired, the barrel being braked by heavy springs (and then damped by a dashpot, which we disregard for simplicity). Hint. At 7 both y and y' must be continuous. m 1 k = 1 ww F=1-1/ 1 F=0 Fig. 59. Problem 26 if 0 SIST T