1. In a certain culture the rate of growth of bacteria is proportional the amount present. If 1,000 bacteria are present initially and the amount doubles in 12 minutes, how long will it take before there will be 1,000,000 bacteria present?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Applications of First -Order DEs: Growth and Decay Problems
1. In a certain culture the rate of growth of bacteria is proportional the amount present. If 1,000
bacteria are present initially and the amount doubles in 12 minutes, how long will it take before
there will be 1,000,000 bacteria present?
First-Order Linear Differential Equations
2. 2y dx = (x² − 1)(dy – dx)
Transcribed Image Text:Applications of First -Order DEs: Growth and Decay Problems 1. In a certain culture the rate of growth of bacteria is proportional the amount present. If 1,000 bacteria are present initially and the amount doubles in 12 minutes, how long will it take before there will be 1,000,000 bacteria present? First-Order Linear Differential Equations 2. 2y dx = (x² − 1)(dy – dx)
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