(1) Use dfield for 0 t 3, 0y8to plot the direction feld for the equation y=y t (a) with initial condition y(0) = 0. Under the "Options" pull down menu of the Display Window, set the Solutions Direction to "Forward." The idea of the tangent line method is to follow each of the little lines for short distances. Specifically, you could start from an initial position, follow one direction line for a short distance on the t axis, then pick up another line, follow it for the same distance, etc., eventually approximating a solution. The distance on the taxis is referred to as the "step size" and is denoted by h. If the differential equation is written y=f(t,3) (b) and our starting point is (to, yo), then the slope of the line through (to, yo) is mo = f (to, yo) (c) then our endpoint is (Y1, t1) where t1=to h and y1=moh