Variable Coefficient Equations

Variable Coefficient EquationsExpected Educational ResultsVariable Coefficient EquationsInitial Value Problems [IVPs]Investigation 07CC BY-NC-SA 4.0

Author: John J Weber III, PhD Corresponding Textbook Sections:

Expected Educational Results

Variable Coefficient Equations

Initial Value Problems [IVPs]

To solve IVPs:

  1. Find
  2. Find
  3. Find coefficients for
  4. Use to find coefficients in .

Example 02: Solve , ,

Solution:

From Example 01, the homogeneous solution is .

and

So,

Thus, .

Investigation 07

Solve the following IVPs:

  1. , , .
  2. , , .
  3. , , .

CC BY-NC-SA 4.0

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License [http://creativecommons.org/licenses/by-nc-sa/4.0/].

Last Modified: Wednesday, 14 October 2020 11:47 EDT