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# 4: Applications of First Order Equations

• • William F. Trench
• Andrew G. Cowles Distinguished Professor Emeritus (Mathematics) at Trinity University
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In this chapter, we consider applications of first order differential equations.

Thumbnail: False color time-lapse video of E. coli colony growing on microscope slide. This growth can be model with first order logistic equation. Added approximate scale bar based on the approximate length of 2.0 μm of E. coli bacteria. Image used with permission (CC BY-SA 4.0 International; Stewart EJ, Madden R, Paul G, Taddei F).