3. A new DE solution technique is introduced to 17 MCCC math faculty at the annual Differential Equation Day Conference in NYC at time t = 0. We return to MCCC and spread the news of this wonderful new finding to the 1000 person MCCC college community. (a) Set up a DE to determine the number of people x(t) who have heard about the new innovation at time t, if we assume that the rate at which the news spreads is directly proportional (use k for the proportionality constant) to the number of people who have heard of the new method and those who have not heard of it. (b) If k = 0.75, use a Bernoulli substitution to solve this as a linear DE. All integration and algebra should be shown in detail to solve for the explicit solution and simplify.
3. A new DE solution technique is introduced to 17 MCCC math faculty at the annual Differential Equation Day Conference in NYC at time t = 0. We return to MCCC and spread the news of this wonderful new finding to the 1000 person MCCC college community. (a) Set up a DE to determine the number of people x(t) who have heard about the new innovation at time t, if we assume that the rate at which the news spreads is directly proportional (use k for the proportionality constant) to the number of people who have heard of the new method and those who have not heard of it. (b) If k = 0.75, use a Bernoulli substitution to solve this as a linear DE. All integration and algebra should be shown in detail to solve for the explicit solution and simplify.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. A new DE solution technique is introduced to 17 MCCC math faculty at the
annual Differential Equation Day Conference in NYC at time t = 0. We return to MCCC
and spread the news of this wonderful new finding to the 1000 person MCCC college
community.
(a)
Set up a DE to determine the number of people x(t) who have heard about the
new innovation at time t, if we assume that the rate at which the news spreads is
directly proportional (use k for the proportionality constant) to the number of people
who have heard of the new method and those who have not heard of it.
(b) If k = 0.75, use a Bernoulli substitution to solve this as a linear DE. All
integration and algebra should be shown in detail to solve for the explicit solution and
simplify.
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