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 N, is the number of people still infected due to mishandling of the vaccine, resulting to unavailability for some countries. s dN, = (42023 – 1155.8t + 15.8388t² – 0.0228¢*)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.

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 N, is the number of people still infected due to mishandling of the vaccine, resulting to unavailability for some countries. s dN, = (42023 – 1155.8t + 15.8388t² – 0.0228¢*)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.

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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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.

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