Recent content by capertiller

Homework Statement If I have a solution to a system of first order linear equations: <x,y> = c_1 e^{-3t} <1,-1> + c_2 e^{-t} <1,1> , how do I find the fundamental matrix psi(t) so that psi(0) = I ? Homework Equations The Attempt at a Solution psi(t) = <<e^{3t}, e^{-t}>...

Homework Statement Systems of first order equations can sometimes be transformed into a single equation of higher order. Consider the system (1) x1' = -2x1 + x2 (2) x2' = x1 - 2x2 Solve the first equation for x2 and substitute into the second equation, thereby obtaining a second order...