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18%. e proportional to the percentage of the building that is not covered. LetV be the ng covered with the vine (so V (0) = 10), and let t be time in years. %3D equation correctly models this situation? Why?

18%. e proportional to the percentage of the building that is not covered. LetV be the ng covered with the vine (so V (0) = 10), and let t be time in years. %3D equation correctly models this situation? Why?

Advanced Engineering Mathematics
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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Find the correct differential equation and use separation of variables to solve the differential equation you chose. Use the values given to solve to find the two constants.

2. A climbing vine is taking over the side of a building. At first the vine only covered 10% of the building, but after 4 years it covered 48%. The vine grows at a rate proportional to the percentage of the building that is not covered. Let V be the percentage of the building covered with the vine (so V(0) = 10), and let t be time in years. %3D (a) Which differential equation correctly models this situation? Why? dV dV = k(100 – V) dt 100 kV dt %3D |3D
Transcribed Image Text:2. A climbing vine is taking over the side of a building. At first the vine only covered 10% of the building, but after 4 years it covered 48%. The vine grows at a rate proportional to the percentage of the building that is not covered. Let V be the percentage of the building covered with the vine (so V(0) = 10), and let t be time in years. %3D (a) Which differential equation correctly models this situation? Why? dV dV = k(100 – V) dt 100 kV dt %3D |3D
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