# Differential Equations as Models in Science and Engineering

## Gregory Baker

- 392 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android

# Differential Equations as Models in Science and Engineering

## Gregory Baker

## About This Book

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.

## Frequently asked questions

## Information

Linear Ordinary Differential Equations | 1 |

**1.1Growth and decay**

^{1}especially if the size of the particle is not important in how it moves. Next, we assume that the particle moves continuously in time; it does not mysteriously jump from one place to another in an instant. Of course, our sense of continuity depends on the scale of time in which appreciable changes occur. There is always some uncertainty or lack of precision when we take a measurement in time. Nevertheless, we employ the concepts of a function changing continuously in time (in the mathematical sense) as a useful approximation and we seek to understand the mechanism that governs its change.

**1.1.1***Bacterial growth*

*Bacterial growth*

^{3}. The population is measured in millions per cubic centimeter, and the results are displayed in Table 1.1.