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# Suppose that x'(tl)+O. Show that we can solve the equation x=x(t) for t = t(x) in a

ISBN: 9780387908069 381

## Solution for problem 4 Chapter 4.4

Differential Equations and Their Applications: An Introduction to Applied Mathematics | 3rd Edition

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Problem 4

Suppose that x'(tl)+O. Show that we can solve the equation x=x(t) for t = t(x) in a neighborhood of the point xi = x (t Hint: If ~'(t #O, then x(t) is a strictly monotonic function of t in a neighborhood of t = ti.

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2/5/16 Friday,February5,20111:48AM Q1 • 25thpercentile Median • Middle • 2ndquartile • 50thPercentile 1/29/16 Friday,January29,201611:42AM CategoricalData • Categoricaldatabreaksobjectsdownintodifferentfeatures ○ Ex.Brandofsoda ○ Ex.Ethnicity • Createdifferentcategoriesandseehowmanyobjectsareinthatcategory • Frequency,relativefrequency,percentfrequency ○ Frequency-countinghowmanythingsinthecategory ○ Relativefrequency-whatfractionofthetotaldoesthatgoesintothe whole(decimal) ○ Percentfrequencyisthesameasrelativefrequencybutitusespercent QuantitativeData • Quantitativedatadescribesobjectsbymeasurements ○ Ex.Weight,time,speed,

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##### ISBN: 9780387908069

This full solution covers the following key subjects: . This expansive textbook survival guide covers 65 chapters, and 855 solutions. This textbook survival guide was created for the textbook: Differential Equations and Their Applications: An Introduction to Applied Mathematics, edition: 3. The full step-by-step solution to problem: 4 from chapter: 4.4 was answered by , our top Math solution expert on 03/13/18, 07:00PM. Since the solution to 4 from 4.4 chapter was answered, more than 218 students have viewed the full step-by-step answer. Differential Equations and Their Applications: An Introduction to Applied Mathematics was written by and is associated to the ISBN: 9780387908069. The answer to “Suppose that x'(tl)+O. Show that we can solve the equation x=x(t) for t = t(x) in a neighborhood of the point xi = x (t Hint: If ~'(t #O, then x(t) is a strictly monotonic function of t in a neighborhood of t = ti.” is broken down into a number of easy to follow steps, and 45 words.

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Suppose that x'(tl)+O. Show that we can solve the equation x=x(t) for t = t(x) in a