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Please answer, thank you. Consider the following. =3t1 =_2t2.,=32 :0 x1 e [3], x2 e [1], x [_34]x, x(0) [15] (a) Verify that the given

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Consider the following. =3t1 =_2t2.,=32 :0 x1 e [3], x2 e [1], x [_34]x, x(0) [15] (a) Verify that the given vector functions xj(t) are linearly independent. To see if the two solutions are linearly independent, we can calculate their Wronskian. w(x1, x2) = Since the Wronskian of the two vectors is --Select--- v , the two solutions are linearly independent. (b) Verify that they satisfy the given homogeneous first-order system. To check that x1 and x2 are solutions to the given system, we need to find their rst derivatives and plug these values into the system. We will begin with x1. Now do the same for x2. (c) Use them to solve the initial-value problem. r X2: x(t) =

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