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
(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