Module for the Method of Undetermined Coefficients

Numerical Methods for O. D. E.  using Mathematica. (c) John H. Mathews, 2003

Example 1. (a)  Find the general solution to the D. E.  

    [Graphics:Images/UndeterminedCoeffMod_gr_1.gif].  
    
1. (b) Find the specific solution to the D. E. in part (a) with the initial conditions  

    [Graphics:Images/UndeterminedCoeffMod_gr_2.gif].  

Solution 1.

Example 2. (a)  Use the method of undetermined coefficients to find the general solution to the D. E.  

    [Graphics:Images/UndeterminedCoeffMod_gr_66.gif].  

2. (b)  Find the solution  with the I.C.'s  

    [Graphics:Images/UndeterminedCoeffMod_gr_67.gif],  

and plot this solution over the intervals [0, 3],  [0, 10]  and  [0, 30].

Solution 2.

Example 3. (a)  Use the method of undetermined coefficients to find the general solution to the D. E.  

    [Graphics:Images/UndeterminedCoeffMod_gr_132.gif].  

3. (b)  Find the solution  with the I.C.'s  

    [Graphics:Images/UndeterminedCoeffMod_gr_133.gif],  

and plot this solution over the interval [0, 3].

Solution 3.


Converted by Mathematica      January 28, 2003