Can someone please help me to solve this based on the answers??!! Separable Differential Equations Sociologists model the spread of rumors using logistic equations. The key assumption is that at any given time a fraction y of the population, where 0sys1, knowsthe rumor, while the remaining fraction 1-y does not. Furthermore, the rumor spreads by interactions between those who know the rumor and those who do not. Thenumber of such interactions is proportional to y(1-y). Therefore, the equation that describes the spread of the rumor is y'(t) = ky(1 - y), where k is a positive realnumber. The fraction of people who initially know the rumor is y(0) = y0, where 0 sy, s1. Complete parts (a) to (c) below......Substitute C back into the found general solution.Yoy =(Simplify your answer.)e - (1-Yo) *Yokt0.3which meansweeks-1b. Assume k = 0.3 weeksand graph the solution for y, = 0.3 and yo = 0.7. Which of the following graphs shows the solution for y, =0.3Yoin blue (the lower plot) and the solution for y, = 0.7 in red (the upper plot)?OA.YB.OC.OD.QAXQTextbookPrintSimilar questionP Pearson1:16 PMENG全11/13/2021DELLF4F7F10PriscrInsertDeleteFSF6FBF9F11F12%24&Backspace5%3DERTYDFGHKLBAllCar c. Describe and interpret the long-term behavior of the rumor function for any 0syo s1.For any 0sy, <1, lim y(t) = 1 . (Type an integer or a simplified fraction.)Which of the following is the correct interpretation?O A. Although more and more people know the rumor as time goes on, there are always some people who do not know the rumor.O B. As time goes on, the number of people who know the rumor increases without bound.C. Eventually, everyone knows the rumor.TextbookPrintSimilarP PearsonENGDELLF12Inse23$%&4568ERYPDGHJKCVBAltCiriVしのΣト

Answered: Image /qna-images/answer/85b7e488-ab94-477e-8609-274521184d7d.jpg

Sociologists model the spread of rumors using logistic equations. The key assumption is that at any given time a fraction y of the population, where 0sys1, knows the rumor, while the remaining fraction 1-y does not. Furthermore, the rumor spreads by interactions between those who know the rumor and those who do not. The number of such interactions is proportional to y(1-y). Therefore, the equation that describes the spread of the rumor is y'(t) = ky(1-y), where k is a positive real number. The fraction of people who initially know the rumor is y(0) = Yo, where 0sy, s1. Complete parts (a) to (c) below. ...... Substitute C back into the found general solution. Yo (Simplify your answer.) "(1-Y0) *Yo 0.3 which means b. Assume k = 0.3 weeks and graph the solution for yo -0.3 and yo =0.7. Which of the following graphs shows the solution for yo =0.3 weeks in blue (the lower plot) and the solution for y, =0.7 in red (the upper plot)? O A. B. OC. OD. Textbook Similar question Print P Pearson 1:16 PM ENG 11/13/2021 DELL

Sociologists model the spread of rumors using logistic equations. The key assumption is that at any given time a fraction y of the population, where 0sys1, knows the rumor, while the remaining fraction 1-y does not. Furthermore, the rumor spreads by interactions between those who know the rumor and those who do not. The number of such interactions is proportional to y(1-y). Therefore, the equation that describes the spread of the rumor is y'(t) = ky(1-y), where k is a positive real number. The fraction of people who initially know the rumor is y(0) = Yo, where 0sy, s1. Complete parts (a) to (c) below. ...... Substitute C back into the found general solution. Yo (Simplify your answer.) "(1-Y0) *Yo 0.3 which means b. Assume k = 0.3 weeks and graph the solution for yo -0.3 and yo =0.7. Which of the following graphs shows the solution for yo =0.3 weeks in blue (the lower plot) and the solution for y, =0.7 in red (the upper plot)? O A. B. OC. OD. Textbook Similar question Print P Pearson 1:16 PM ENG 11/13/2021 DELL

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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