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  3. exercise 143 consider the equation 1 a show the constant...

Question: exercise 143 consider the equation 1 a show the constant...

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Exercise 1.43 Consider the equation 1- (a) Show the constant functions x(t) = 1 and x(t) =-1 are solutions for all t b) Show the function 1 o/2 x(t) = sin t -1 -π/2 < t < π/2 for t<-π/2 is a solution for all t. Thus, the marimal interval for the solution of the initial value problem r(0) 0 is the whole real line. (c) The solution x(t)1 and the solution in (b) both satisfy the same initial value problem x(n/2)-1 for all t. Why does this not contradict Theorem 1.1?

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