Explanation Procedure used: If the differential equation has no critical points then there does not exist a value y such that f ( y ) = 0 . So, the differential equation has no constant solutions. Calculation: Consider the autonomous differential equation. d y d x = f ( y ) The above autonomous differential equation has no critical points. So, the differential equation has no constant solutions. y ( x ) = c The solution y ( x ) will not be bounded above or below

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 2.1, Problem 37E

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Chapter 2.1, Problem 36E

Chapter 2.1, Problem 38E

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Figure 1 Simulation structure diagram for a turbine cold-end system. approximated by the two fourth degree polynomial equations as follows: The turbine "cold-and" system generally consists of turbine exhaust and condenser, and cooling tower (Fig. 1). For a 250 MW unit, the turbine performance data with the maximum steam throttle flow can be NHR NEW NHR Turbine and NHR = −45.19(CP)* + 420(CP)® – 1442(CP)2 + 2248(CP) +6666 (a) NKW = 4,883(CP)* – 44,890(CP)3 + 152,600(CP)2 – 231,500(CP) + 383,400. (b) The condenser and mechanical-draft cooling tower have the performance equations, respectively, CP 1.6302-0.50095 x 10-1 (CWT) OP Coupling 1 Condenser CR WFR CWT Coupling 2 WST Cooling Tower CR System Boundary 2 (The circulating water flow is assumed to flow at the rate of 145,000 gpm.) In addition to the given performance equations give above, we also need two coupling equations to complete the mathematical model for this cooling system. The first equation is the coupling between the…

Chapter 2 Solutions

Advanced Engineering Mathematics

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The behavior of the solutions having no critical points.

Solution Summary: The author explains the behavior of the solutions having no critical points, which is the case in that the solution assumes all real values.

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Chapter 2 Solutions