Let J = 1 0 , where is an arbitrary real number. (a) Find J2 , J3 , and J4 . (b) Use an

Chapter 7, Problem 19

(choose chapter or problem)

Let J = 1 0 , where is an arbitrary real number. (a) Find J2 , J3 , and J4 . (b) Use an inductive argument to show that Jn = n nn1 0 n . (c) Determine exp(Jt). (d) Use exp(Jt) to solve the initial value problem x = Jx, x(0) = x0.

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