1. The problem statement, all variables and given/known data Consider the vectors x(1)(t)=(t 1)T and x(2)(t)=(t2 2t)T. (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 homogenous differential equations satisfied by x(1) and x(2)? (d) Find this system of equations and verify the conclusion of part (c). 2. Relevant equations Wronskian is a fancy word for the determinate of a set of solutions. A set of vectors is linearly independent <---> Determinate ≠ 0. 3. The attempt at a solution Wronskian = |x(1), x(2)| = t2 t2 = 0 ---> No solution; the system is not linearly independent. So our interval is t ≠ 0. Parts (c) and (d) don't make sense to me. Making x(1), x(2) a system of homogenous equations would mean C1x(1) + C2x[/Bb](2) = 0. The answer in the back of the book says, "At least one coefficient must be discontinuous at t=0." How can a coefficient, just a number, be discontinuous? Show me your mathleticism on this one, folks.