- #1
Susanne217
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Homework Statement
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?