QUESTION 4 a) By using convolution theorem, show that 1 (sin 3t 3t cos 3t)....

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QUESTION 4 a) By using convolution theorem, show that 1 (sin 3t – 3t cos 3t). (s² + 9)²} 12 b) Using Laplace transform, solve the system of differential equations dr = 1, dt dy - 4r dt 2H(t – 1), %3D given that r = 0, y = -1 when t%3= 0. QUESTION 4 a) By using convolution theorem, show that 1 (sin 3t – 3t cos 3t). (s² + 9)²} 12 b) Using Laplace transform, solve the system of differential equations dr = 1, dt dy - 4r dt 2H(t – 1), %3D given that r = 0, y = -1 when t%3= 0.