(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

Answer for the question:

(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

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Step-by-step explanation:

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step-by-step explanation:

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1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft