Exercises

Find the solution to the following by rewriting as a system in the form u'=Au and using matrix exponential techniques. To rewrite a s a system, let x1=u, x2=u', x3=u'', etc.

Exercise 1

u'''-3u'+2u=0

Exercise 2

u^(5)-8u'''+16u'=0
Here u^(5) denotes the fifth derivative.

Exercise 3

u^(8)-256u=0

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