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Let K(t) denote capital at time t. Suppose at time 0, there is 1 unit of...

Let K(t) denote capital at time t. Suppose at time 0, there is 1 unit of capital: K(0) = 1. Consider the following two paths of capital

a) K(t) - 0.02K(t) = 0

b) K(t) + 0.5K(t) = 0

Find solutions for both a) and b).

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