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Homework Statement
Consider a linear system dx/dt = Ax of arbitrary size. Suppose x1(t) and x2(t) are solutions of the system. Is the sum x(t) = x1(t) + x2(t) a solution as well? How do you know?
Homework Equations
The Attempt at a Solution
I have no idea how to go about this problem. Any hints?
Thanks in advance!