For Elementary Differential Equations And Boundary Value Problems 12th Edition by William E Boyce Richard C Diprima Douglas B Meade Chapter 1-11 Complete And Study material 591pages LEARNEXAMS

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>