Introduction 1. For � > 3∕2, the slopes are negative, therefore the solutions are decreasing. For � < 3 xss=removed> 3∕2, the slopes are positive, therefore the solutions increase. For � < 3> −1∕2, the slopes are negative, therefore the solutions decrease. For � < −1∕2, the slopes are positive, therefore, the solutions increase. As a result, � → −1∕2 as �→∞. 3. 1 2 CHAPTER 1 Introduction 4. For � > −1∕2, the slopes are positive, and hence the solutions increase. For � < −1∕2, the slopes are negative, and hence the solutions decrease. All solutions diverge away from the equilibrium solution �(�) = −1∕2. 5. For all solutions to approach the equilibrium solution �(�) = 2∕3, we must have � ′ < 0> 2∕3, and � ′ > 0 for � < 2 xss=removed xss=removed>2, and a decreasing function for �<2>

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jordancarter 7 months ago

This study guide is clear, well-organized, and covers all the essential topics. The explanations are concise, making complex concepts easier to understand. It could benefit from more practice questions, but overall, it's a great resource for efficient studying. Highly recommend!
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