Solve the following (a) a 4 pound weight stretches a spring 6 inches dowward to a position y-0. set up an initial value problem (differential equation and initial conditions) fr the positio y(t) ( t secoods later) ? fthe spring has been lifted back up the 6 inches and is released. (b) compute the laplace transform clys) wbe y ls the solut lon of the initial value problem: 2"+ty'+6y 0,withy0)-2 andyio)-2