compute y(0.4) , y(0.5) be Milnes predictor corrector method where y satisfies the differential equationand the corresponding value of t and y are below Computo y (0.4), y (005) bycorres for method'wherebydifferential eqantraze²dy / ++ =zand yand the coresponding values of + thegiven astiy20.12.01milmespredictorsatisfies the0-22.010.32009

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Answered: Compute y (0.4), y (005) by corrector…

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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Consider the differential equation = (y – 2) (;- y). For what values of y will y(t) be 8. dt decreasing?
On the early detection period of COVID-19, there were 557 people verified to have been infected by the virus. This rate of increase is modeled using the differential equation below, with N being the number of people, and t for the time elapsed (in days) since it was detected on January 22, 2020. dN = (37602 – 1002.42t + 14.6982t² – 0.0204e³)dt With the creation of the vaccines, the modeled equation shifted to the one below. The variable Nm is the number of people still infected due to mishandling of the vaccine, resulting to unavailability for some countries. dNm = (42023 – 1155.8t + 15.8388e2 – 0.0228²³)dt Determine the number of people that can be saved by the vaccine if it is to be administered on March 8, 2021, on the assumption that no side- effects and complications will be triggered.
Disease epidemics can be modelled by differential equations. Suppose we have two sub-populations of individuals in a city: individuals who are infected with some virus (I) and individuals who are susceptible to infection (S). We assume that if a susceptible person interacts with an infected person, there is a probability p that the susceptible person will become infected. Each infected person recovers from the infection at a rate r and becomes susceptible again. The differential equations that model these population sizes are TI - PSI, dS dt dI dt pSI - TI. (a) Assuming no one dies from the virus, the total population N is a constant number defined as N = S+I. Show in this case that you can reduce the above system to the single differential equation for I. (b) Find the general solution I(t) to the ODE found in part (a). (c) If I (0) = Io, give the equation for the unknown constant in terms of Io, N, p and r.

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Compute y (0.4), y (005) by corrector method where differential eqantra A дам zet 2e t-y milmes satisf by sat dy/ot = 1 comesponding values of t