Differential Equations

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Copyright © 2008 Pearson Education, Inc. Chapter 10 Differential Equations Copyright © 2008 Pearson Education, Inc.
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Presentation transcript:

Differential Equations Chapter 10 Differential Equations Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Chapter Outline Solutions of Differential Equations Separation of Variables First-Order Linear Differential Equations Applications of First-Order Linear Differential Equations Graphing Solutions of Differential Equations Applications of Differential Equations Numerical Solution of Differential Equations Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Separations of Variables Section 10.2 Separations of Variables Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Separable Differential Equation Definition Example A differential equation is separable if it can be written in the form of Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. General Steps for Solving a Separable DE Note: Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Solve a Separable Differential Equation EXAMPLE SOLUTION Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Solve a Separable Differential Equation Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Solve an Initial Value Problem EXAMPLE SOLUTION Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Solve an Initial Value Problem EXAMPLE SOLUTION Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Solve an Initial Value Problem Continued Copyright © 2014, 2010, 2007 Pearson Education, Inc.

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