A'1(x)=2A1(x)-A2(x)-A3(x)
A'2(x)=-A1(x)+2A2(x)-A3(x)
A'3(x)=-A1(x)-A2(x)+2A3(x)
with A1(0) = 0, A2(0) = 1, and A3(0) = 5 being initial values
solve linear differential equations
Solved using the known method for solving linear system with real Eigen values.
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