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Message: <blockquote data-quote="Croony" data-source="post: 2418612" data-attributes="member: 830521">proportional to the product of the fraction? y of the population who have heard the rumor and the fraction who have not heard the rumor.(a) Write a differential equation that is satisfied by y. (Use k for the constant of proportionality.) My Ans: dy/dt=ky(1-y)      //which is right(b) Solve the differential equation. Assume y(0) = c., y=? My Ans:      y=e^(kt)+y-1                             //I got this part wrong A small town has 1300 inhabitants. At 8 AM, 100 people have heard a rumor. By noon half the town has heard it. At what time will 90% of the population have heard the rumor?Not sure how to do it  Kindly show the steps on how to do it. Thank you in advance for trying</blockquote>