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 ...
View
Full Document
 Winter '16
 Alveen Chand
 Fourier Series

Click to edit the document details