1. |||| 9.1 MODELING WITH DIFFERENTIAL EQUATIONS Differential Equations Dicky Dermawan www.dickydermawan.net78.net dickydermawan@gmail.com

2. |||| 9.1 Modeling with Differential Equations Perhaps the most important of all the applications of calculus is to differential equations. When physical scientists or social scientists use calculus, more often than not it is to analyze a differential equation that has arisen in the process of modeling some phenomenon that they are studying. Although it is often impossible to find an explicit formula for the solution of a differential equation, we will see that graphical and numerical approaches provide the needed information.

3. A Model for the Motion of a Spring

4. A Model for the Electric Circuit

5. General Differential Equations

6. |||| 9.1 Modeling with Differential Equations

8. |||| 9.3 Separable Equations

11. Exercise