Register to reply

Maximal solution Interval ODE question

by Susanne217
Tags: interval, maximal, solution
Share this thread:
Susanne217
#1
Sep5-10, 01:01 PM
P: 317
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?
Phys.Org News Partner Science news on Phys.org
Bees able to spot which flowers offer best rewards before landing
Classic Lewis Carroll character inspires new ecological model
When cooperation counts: Researchers find sperm benefit from grouping together in mice

Register to reply

Related Discussions
Maximal solution to ODE Calculus & Beyond Homework 6
The largest interval for which a certain solution is unique Differential Equations 1
Differential Equations - maximal interval Calculus & Beyond Homework 1
Interval of uniqueness of the solution Calculus & Beyond Homework 0
Trig Solve for Solution Within Interval Precalculus Mathematics Homework 6