Solving a nonhomogeneous linear system X AX F(t) by variation of parameters when A is a
Chapter 8, Problem 35(choose chapter or problem)
Solving a nonhomogeneous linear system X AX F(t) by variation of parameters when A is a 3 3 (or larger) matrix is almost an impossible task to do by hand. Consider the system (a) Use a CAS or linear algebra software to find the eigenvalues and eigenvectors of the coefficien matrix. (b) Form a fundamental matrix and use the computer to find . (c) Use the computer to carry out the computations of: where C is a column matrix of constants c1, c2, c3, and c4. (d) Rewrite the computer output for the general solution of the system in the form X Xc Xp, where Xc c1X1 c2X2 c3X3 c4X4. (t)C, a
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