Maximal solution Interval ODE question

  1. 1. The problem statement, all variables and given/known data

    Given an ODE

    [tex]h(y(t)) \frac{dy}{dt} = q(t)[/tex]

    How do I define the maximal solution of this equation?

    According to my textbook for this course a maximal solution for the above problem if it cannot be obtained from another solution as a restriction to a smaller interval.

    I have been looking through many textbooks both in the in Lib and on google books.

    Is there anyone here who would explain maximal solution in layman terms to me?

    I know howto solve most ODE's and IVP and some BVP. But is the max interval of solution just the interval on which the solution of the ODE is defined?
  2. jcsd
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