LinearSystemOfDEsMod2003.nb

Module for Linear Systems of O. D. E.

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

Background. We wish to study the system of D. E.'s

Example 1.  Find the general solution to the system of D. E.'s

     [Graphics:Images/LinearSystemOfDEsMod_gr_2.gif]

Plot the solution curves where the starting points are
and the parameter t is in the interval  .

Solution 1.

Example 2.  Find the general solution to the system of D. E.'s



Plot the solution curves where the starting points are  ,
and the parameter t is in the interval  .

Solution 2.

Example 3.  Find the general solution to the system of D. E.'s

     [Graphics:Images/LinearSystemOfDEsMod_gr_69.gif]

Plot the solution curves where the starting points are  ,
and the parameter t is in the interval  .

Solution 3.

Example 4.  Find the general solution to the system of D. E.'s



Plot the solution curves where the starting points are  ,
and the parameter t is in the interval  .

Solution 4.

Example 5.  Find the general solution to the system of D. E.'s



Plot the solution curves where the starting points are  ,
and the parameter t is in the interval  .

Solution 5.

Example 6. Solve the system of differential equations

Solution 6.

Example 7. Solve the system of differential equations

Solution 7.

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Converted by Mathematica January 28, 2003