2. A slinky is dangled from atop a high building, and its relative position is modeled by the second order differential equation y"+2y+y=0 where y is the height of the bottom of the slinky. a) Convert this second order differential equation into a 2-dimensional first order differential equation using the variable v = y. b) Modify the file H.m so that it matches your differential equation from part a). Then run the MATLAB file ExampleDirectionField.m to generate a direction field of the differential equation. Include this image in your submission. c) Using your direction field from part b), draw by hand the phase portrait for the differential equation. d) Write an interpretation of your graphs in terms of the typical behavior of a slinky. e) Sketch by hand both the y(t) and v(t) graphs for the initial position y(0) = -2 and v(0) = 0.