- #1
Mathman23
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Homework Statement
Howdy,
Given a matrix [tex]\left[\begin{array}{ccc}x_{11} & x_{12}\\x_{21} & x_{12}\end{array}\right][/tex]
Which has the exponential matrix [tex]e^{t\cdot a}[/tex]
When given the eqn [tex]x'= Ax + b[/tex] where [tex] b = \left[\begin{array}{c}b_1 \\ b_2\end{array}\right][/tex]
I know that had it only been x' = Ax, then solution would be [tex]x = e^{ta} \cdot C[/tex] where C is a constant.
Could someone here please be so kind to assist me in which secret formula do I use to expres the solution of the system x' = Ax+b??
Cheers
Fred