MEC702_Short_Test_2_Supplementary

# MEC702_Short_Test_2_Supplementary - MEC702 Short Test 2...

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Unformatted text preview: MEC702 Short Test 2 Supplementary 1. Find the general solution of the following systems. y10 = 2y1 − 2y2 y20 = 2y1 + 2y2 (6 marks) 2. Given F (s) = L (f ), nd f (t) where a, b, L, n are constants. (a) (b) 0.2s+1.8 s2 +3.24 s+10 s2 −s−2 (3 + 3 marks) 3. Solve the IVPs by the Laplace transform. Show all details. a.) y 0 + 2y = 0, b.) 00 y(0) = 1.5 −t y + 9y = 10e , y 0 (0) = 0 y(0) = 0 (6 + 6 marks) 4. Find the Fourier series of the given function which is assumed to have the period 2π . Show details of your work. ( f (x) = |x| = −x, −π < x < 0 , period p = 2π . +x, 0 < x < π (6 marks) 1 ...
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