slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Separable Differential Equations PowerPoint Presentation
Download Presentation
Separable Differential Equations

Loading in 2 Seconds...

play fullscreen
1 / 6
sawyer-herrera

Separable Differential Equations - PowerPoint PPT Presentation

109 Views
Download Presentation
Separable Differential Equations
An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. Separable Differential Equations

  2. Separable Differential Equations A separable differential equation can be expressed as the product of a function of x and a function of y. Example: Multiply both sides by dx and divide both sides by y2 to separate the variables. (Assume y2 is never zero.)

  3. Separable Differential Equations A separable differential equation can be expressed as the product of a function of x and a function of y. Example: Combined constants of integration

  4. Example : Separable differential equation Combined constants of integration

  5. Example continued: We now have y as an implicit function of x. We can find y as an explicit function of x by taking the tangent of both sides. Notice that we can not factor out the constant C, because the distributive property does not work with tangent.

  6. Acknowledgement I wish to thank Greg Kelly from Hanford High School, Richland, USA for his hard work in creating this PowerPoint. http://online.math.uh.edu/ Greg has kindly given permission for this resource to be downloaded from www.mathxtc.com and for it to be modified to suit the Western Australian Mathematics Curriculum. Stephen Corcoran Head of Mathematics St Stephen’s School – Carramar www.ststephens.wa.edu.au p