Reference no: EM131991609
SYSTEMS AND SIGNALS ASSIGNMENT -
Question 3: Use direct integration find the Laplace transform and the ROC of the following functions:
a) u(t)- u(t -1)
b) te-tu(t)
c) t cos(ω0t)u(t)
d) (e2t - 2e-t)u(t)
Question 4: Find the inverse Laplace transform of:
a) (2s + 5)/(s2 + 5s + 6)
b) (3s + 5)/(s2 + 4s +13)
c) (s +1)2/(s2 - s - 6)
d) (2s +1)/(s +1)(s2 + 2s + 2)
Question 5: For the system described by the following differential equations, find the system transfer function:
a) d2y/dt2 +11 dy/dt + 24y = 5 dx/dt + 3x
b) d3y/dt3 + 6 d2y/dt2 -11 dy/dt + 6y = 3 d2x/dt2 + 7 dx/dt + 5x
c) d4y/dt4 + 4 dy/dt = 3 dx/dt + 2x
d) d2y/dt2 - y = dx/dt - x
Note - Need questions 3, 4 and 5. Solved step by step and its systems and signals. Question 5 is to be solved with Laplace transform as well.