Question: 7. (* * ) (a) (5 marks) Express the quantity u f (u) = u2 + 3u +2 as a sum of partial fractions. (b)

7. (* * ) (a) (5 marks) Express the quantity u

7. (* * ) (a) (5 marks) Express the quantity u f (u) = u2 + 3u +2 as a sum of partial fractions. (b) (10 marks) Using your answer to part (a) show that 21 + 4ex + 4 de = In + C. e2 + 3ex + 2 ez + 1 HINT: You may wish to use the substitution u = e. (c) (5 marks) Find the solution y(a) to the equation dy 402x = sec dx e20 + 3er + 2 which satisfies y(0) = 0

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