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Question 13 (a) Use partial fractions to show that 1-6s2 3 1 15 == + s (3s+2) 4s 2s 4(3s+2) [5] (b) Hence, using

Question 13 (a) Use partial fractions to show that 1-6s2 3 1 15 == + s (3s+2) 4s 2s 4(3s+2) [5] (b) Hence, using Laplace transforms, solve the first-order differential equation where y(0)=-2. 3f'(x)+2f(x) = x [10]

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