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SOLVED: Problem 1: Consider the system of differential equationsx1' = 2x1 1,x2' = x2 - x1.Solve this system for functions x1(t) and x2(t) by taking the following steps: (a) Solve the first equation for x1(t). You should get a one-parameter family of solutions. Label your parameter c1. (b) Plug in x1(t) into the second equation. (c) Now solve the second equation for x2(t). Your answer should still have c1 along with a new parameter, which you should label c2.
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