MAT2680 Differential Equations, FA2013

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  • Page-7, problem-15-20
  • September 6, 2013 at 3:10 am #13447

    Afzal
    Participant

    hello professor,
    problem 15-20 in chapter 1.1,do we have to draw all of the equation and find out or is there any other way?

    September 9, 2013 at 12:16 am #17106

    Ezra Halleck
    Participant

    I will leave this for you and the other students to discuss and discover. However, I will give a few hints. First, you should be able to find the equilibrium solution or solutions by studying the figure. These should correspond to precisely where y’ is 0. Second, if the coefficient of y is positive, then you have “exponential growth”; in other words, the equilibrium solution is unstable. On the other hand, if the coefficient is negative, that corresponds to “exponential decay”; in other words, the equilibrium solution is stable.

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