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.
.
1. (b) Find the specific solution to the D. E. in part (a) with the initial conditions
.
Solution 1.
Example 2. (a) Use the method of undetermined coefficients to find the general solution to the D. E.
.
2. (b) Find the solution with the I.C.'s
,
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.
.
3. (b) Find the solution with the I.C.'s
,
and plot this solution over the interval [0, 3].
Solution 3.