Separable equation
This presentation is the property of its rightful owner.
Sponsored Links
1 / 8

Separable Equation PowerPoint PPT Presentation


  • 74 Views
  • Uploaded on
  • Presentation posted in: General

Separable Equation. Step 1 – identify the problem as a separable equation Step 2 – Separate the equation into the form. Rearrange to Step 3 – integrate both sides of the equation , adding one arbitrary constant, say C, to the x side. Evaluate

Download Presentation

Separable Equation

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


Separable equation

Separable Equation

  • Step 1 – identify the problem as a separable equation

  • Step 2 – Separate the equation into the form. Rearrange to

  • Step 3 – integrate both sides of the equation, adding one arbitrary constant, say C, to the x side. Evaluate

  • Step 4 - If there is an initial condition, then substitute it to obtain the value of C


Example 1

Example 1

1

5

2

6

3

7

4


Example 2

Example 2

SOLUTION


Separable equation

Example 3

SOLUTION


Exercise

EXERCISE

1

2

3

4

5


Homogeneous equation

HOMOGENEOUS Equation

  • Step 1- Write to the general form . Make sure this equation is homogeneous. Need to show

  • Step 2 - Use substitution and into homogeneous equation in Step 1.

  • Step 3 - Separate the variables x and v in the resulting equation.

  • Step 4 - Integrate both sides of the equation and then put only a constant, say C on the right integration. When this equation is integrated then we obtain a relationship between x and v.

  • Step 5 - Then by substituting we have the required solution.

  • Step 6 - If there is an initial condition, and then use it to obtain the value for C.


Example 21

Example 2

SOLUTION


Linear equation

linear Equation


  • Login