Mathematical methods for economic theory

Martin J. Osborne
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8.2 Exercises on first-order differential equations: existence and stability of solutions

  1. Draw direction fields for the following differential equations.
    1. x'(t) = x/t.
    2. x'(t) = −t/x.

    Solution

    1. The direction diagram for the first equation is given in the following figure.

    2. In the diagram for the second equation, the line segments point around concentric circles.