Linear Algebra with Differential Equations/Heterogeneous Linear Differential Equations

=Introduction= We now tackle the problem of $$\mathbf{G}(t)$$ being nonzero, so that we have the following problem:

$$\mathbf{X}' = \mathbf{AX} + \mathbf{G}(t)$$

There are four reasonable ways to solve this.


 * /Diagonalization/
 * /Method of Undetermined Coefficients/
 * /Variation of Parameters/
 * /Laplacian Transforms/