(a). Suppose a = b = 1 in the Gompertz differential equation (7). Since the DE is autonomous, use the phase portrait concept ofSection 2.1 to sketch representative solution curves correspondingto the cases P0 > e and 0 < P0 < e
(b). Suppose a = 1, b = -1 in (7). Use a new phaseportrait to sketch representative solution curves corresponding tothe cases P0 > e6(-1) and 0 < P0 < e^(-1).
(c). Find an explicit solution of (7) subject to P(0) =P0