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Mold grows on bread as an expanding circle, with the rate of growth proportional to the circumference of the circle. In other words, if A is the area of the mold, and C is the circumference, A'= kC. Since the growth is circular, A = ² and C= 2πr, allowing us to rewrite the equation as A'= 2k√√A, or more simply as A'= K√A. Suppose a particular mold was measured at t=0 to have an area of 9 mm², and after 3 days has grown to an area of 17 mm². Solve the differential equation to determine the area of the mold after 10 days. mm²

Mold grows on bread as an expanding circle, with the rate of growth proportional to the circumference of the circle. In other words, if A is the area of the mold, and C is the circumference, A'= kC. Since the growth is circular, A = ² and C= 2πr, allowing us to rewrite the equation as A'= 2k√√A, or more simply as A'= K√A. Suppose a particular mold was measured at t=0 to have an area of 9 mm², and after 3 days has grown to an area of 17 mm². Solve the differential equation to determine the area of the mold after 10 days. mm²

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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Mold grows on bread as an expanding circle, with the rate of growth proportional to the circumference of the circle. In other words, if A is the area of the mold, and C is the circumference, A'=kC. Since the growth is circular, A = ² and C= 2πr, allowing us to rewrite the equation as A'= 2k√√A, or more simply as A'= K√A. Suppose a particular mold was measured at t=0 to have an area of 9 mm², and after 3 days has grown to an area of 17 mm2. Solve the differential equation to determine the area of the mold after 10 days. mm²
Transcribed Image Text:Mold grows on bread as an expanding circle, with the rate of growth proportional to the circumference of the circle. In other words, if A is the area of the mold, and C is the circumference, A'=kC. Since the growth is circular, A = ² and C= 2πr, allowing us to rewrite the equation as A'= 2k√√A, or more simply as A'= K√A. Suppose a particular mold was measured at t=0 to have an area of 9 mm², and after 3 days has grown to an area of 17 mm2. Solve the differential equation to determine the area of the mold after 10 days. mm²
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