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.