Mathman23
Sep25-08, 01:12 PM
1. The problem statement, all variables and given/known data
Howdy,
Given a matrix \left[\begin{array}{ccc}x_{11} & x_{12}\\x_{21} & x_{12}\end{array}\right]
Which has the exponential matrix e^{t\cdot a}
When given the eqn x'= Ax + b where b = \left[\begin{array}{c}b_1 \\ b_2\end{array}\right]
I know that had it only been x' = Ax, then solution would be x = e^{ta} \cdot C 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
Howdy,
Given a matrix \left[\begin{array}{ccc}x_{11} & x_{12}\\x_{21} & x_{12}\end{array}\right]
Which has the exponential matrix e^{t\cdot a}
When given the eqn x'= Ax + b where b = \left[\begin{array}{c}b_1 \\ b_2\end{array}\right]
I know that had it only been x' = Ax, then solution would be x = e^{ta} \cdot C 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