Posted this in urgent to no avail:
I'm having some slight trouble solving some Applied LinAlg problems, namely Decoupling Equations.
Suppose you have a matrix A with the contents
( 2 0 )
( 0 3 )
I need to write down the solution to the equation dx/dt = Ax (A being the matrix).
I need to express x1(t) and x2(t) (x sub 1, x sub 2) in terms of initial conditions x1(0) and x2(0).
So far I've got
dx1/dt = 2x1
dx2/dt = 3x2
I'm not sure how to put the initial conditions in here and solve it.