Solve du/dt=Pu when P is a projection.
[1/2 1/2 = du/dt with
[5 = u(0).
Part of u(0) increases exponentially while the nullspace part stays fixed.
du/dt = Au with u=u(0) at t=0
The Attempt at a Solution
I'm stuck with this problem. I was thinking that u(t)=eλt*x.
Would du/dt be considered matrix A? Thanks!