Question

5. Convert the following initial value problems into a system of first order initial value problems. Write your answer in the form

u' Au + f, u(0) = uo.

(a)

(b)

+ty"+y=1, y(0)=0, g'(0)=1, /'(0) = 2

y+3y + 2z=e, y(0)=0, (0)=1

z"+y+22=1, 2(0)=1, '(0)=0

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