1 / 8

6.1 – 6.3 Differential Equations

6.1 – 6.3 Differential Equations. Differential Equation: An equation which has terms that could include the function ( y ) and its derivatives ( dy / dx or y  ). Solution equation : y or f ( x ). Need to:. Create a slope field Match y OR dy / dx to the slope field.

matia
Download Presentation

6.1 – 6.3 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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 6.1 – 6.3 Differential Equations

  2. Differential Equation: An equation which has terms that could include the function (y) and its derivatives (dy/dx or y). Solution equation: y or f (x)

  3. Need to: • Create a slope field • Match y OR dy/dx to the slope field

  4. Ex 1: Create a slope field for the differential equation:

  5. Need to: • Sketch the function (y) given the slope field and an initial condition • Find y using separation of variables

  6. Seperable Differential Equations

  7. Ex 2: Find the solution equation for the differential equation:

  8. Ex 3: Find the particular solution equation for the differential equation given the initial condition f (1) = 1:

More Related