Introduction to differential equations

OpenStax

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Basics of differential equations

1 General differential equations

2 General and particular solutions

3 Initial-value problems

Direction fields and numerical methods

1 Creating direction fields

2 Using direction fields

3 Euler’s method

5 Key equations

Separable equations

1 Separation of variables

2 Applications of separation of variables

3 Solution concentrations

4 Newton’s law of cooling

6 Key equations

The logistic equation

1 Population growth and carrying capacity

2 Solving the logistic differential equation

4 Key equations

First-order linear equations

1 Standard form

2 Integrating factors

3 Applications of first-order linear differential equations

4 Free fall with air resistance

5 Electrical circuits

7 Key equations

8 Chapter review exercises

Source: OpenStax, Calculus volume 2. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11965/1.2

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