Consider the vectors x(1)(t) =t1and x(2)(t) =t22t.(a)
Chapter 7, Problem 6(choose chapter or problem)
Consider the vectors x(1)(t) =t1and x(2)(t) =t22t.(a) Compute the Wronskian of x(1) and x(2).(b) In what intervals are x(1) and x(2) linearly independent?(c) What conclusion can be drawn about the coefficients in the system of homogeneousdifferential equations satisfied by x(1) and x(2)?(d) Find this system of equations and verify the conclusions of part (c).
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