# Solved: Consider the autonomous DE dydx y2 y 6. Use your ideas from to find intervals on

## Problem 36 Chapter 2.1

Differential Equations with Boundary-Value Problems | 7th Edition

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Differential Equations with Boundary-Value Problems | 7th Edition

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Problem 36

Consider the autonomous DE dydx y2 y 6. Use your ideas from to find intervals on the y-axis for which solution curves are concave up and intervals for which solution curves are concave down. Discuss why each solution curve of an initial-value problem of the form dydx y2 y 6, y(0) y0, where 2 y0 3, has a point of inflection with the same y-coordinate. What is that y-coordinate? Carefully sketch the solution curve for which y(0) 1. Repeat for y(2) 2.

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