9780070109100, Chapter 15 2, Problem 2E

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Chapter 15.2, Problem 2E Step-by-step solution Step 1 of 1 2. From (15.9), we may write a + Y = + P*. Hence (15.100) can be rewritten as + P = j + P*, or + kP = kP*, or + k (P P*) = 0. By (15.3'), the time path corresponding to this homogeneous differential equation is A(t) = if A(0) 0, then A(t) = 0; i.e., P(t) = P*. If A(0) then A(t) = P(t) - - P* will converge to zero if and only if This conclusion is no different from the one stated in the text.